Harmonic Analysis and Differential Equations: New Challenges

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

El efecto de Talbot: de la óptica a la ecuación de Schrödinger

Author(s): Eceizabarrena, D.
Published in: TEMat, la revista electrónica de divulgación de trabajos de estudiantes de matemáticas, Issue 30, 2017, ISSN 2530-9633
Publisher: Asociación Nacional de Estudiantes de Matemáticas

Riemann's non-differentiable function is intermittent

Author(s): Boritchev, Alexandre; Eceizabarrena, Daniel; Vilaça Da Rocha, Victor
Published in: https://hal.archives-ouvertes.fr/hal-02336549, Issue 19, 2020
Publisher: arxiv

On the one dimensional cubic NLS in a critical space

Author(s): Bravin, Marco; Vega, Luis
Published in: Arxiv, Issue 21, 2021
Publisher: Arxiv

An analytical study of flatness and intermittency through Riemann's non-differentiable functions

Author(s): Daniel Eceizabarrena, Victor Vilaça Da Rocha
Published in: 2021
Publisher: Arxiv

Convergence over fractals for the periodic Schrödinger equation

Author(s): Daniel Eceizabarrena, Renato Lucà
Published in: 2021
Publisher: Arxiv

Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow

Author(s): Valeria Banica, Luis Vega
Published in: Arxiv, 2021
Publisher: Arxiv

Riemann's non-differentiable function and the binormal curvature flow

Author(s): Valeria Banica, Luis Vega
Published in: to appear in Archive for Rational Mechanics and Analysis, 2022
Publisher: Arxiv

On the existence of weak solutions for the 2D incompressible Euler equations with in-out flow and source and sink points

Author(s): Marco Bravin
Published in: 2021
Publisher: Arxiv

Eigenvalue curves for generalized MIT bag models

Author(s): Naiara Arrizabalaga, Albert Mas, Tomás Sanz-Perela, Luis Vega
Published in: Arxiv, 2021
Publisher: Arxiv

Counterexamples for the fractal Schrödinger convergence problem with an Intermediate Space Trick

Author(s): Eceizabarrena, D.; Ponce Vanegas, F.
Published in: 2022
Publisher: Arxiv

The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions

Author(s): Susana Gutiérrez, André de Laire
Published in: 2017
Publisher: ARXIV

Characterization of balls as minimizers of an endpoint Gagliardo seminorm on the boundary

Author(s): Albert Mas
Published in: 2018
Publisher: ARXIV

Pointwise convergence over fractals for dispersive equations with homogeneous symbol

Author(s): Eceizabarrena, D.; Ponce Vanegas, F.
Published in: Arxiv, Issue 28, 2021
Publisher: Arxiv

Existence of weak solutions to the two-dimensional incompressible Euler equations in the presence of sources and sinks

Author(s): Bravin, Marco; Sueur, Franck
Published in: Arxiv, Issue 55, 2021
Publisher: Arxiv

On the vanishing rigid body problem in a viscous compressible fluid

Author(s): Bravin, Marco; Nečasová, Šárka
Published in: Arxiv, Issue 20, 2020
Publisher: Arxiv

Self-Adjoint Dirac Operators on Domains in \mathbb {R}(3)

Author(s): Jussi Behrndt; Markus Holzmann; Albert Mas
Published in: Annales Henri Poincaré, Issue 10, 2020, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-020-00925-1

Hardy uniqueness principle for the linear Schrödinger equation on quantum regular trees

Author(s): A. Fernández-Bertolin, A. Greecu, L. Ignat.
Published in: Journal of Fourier Analysis and Applications, 2022, ISSN 1069-5869
Publisher: Birkhaeuser
DOI: 10.1007/s00041-022-09910-0

Static and Dynamical, Fractional Uncertainty Principles

Author(s): Kumar, S.; Ponce Vanegas, F.; Vega, L.
Published in: Transactions of the AMS, Issue 29, 2022, ISSN 0002-9947
Publisher: American Mathematical Society

Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics.

Author(s): Yu Deng; Christian Zillinger; Christian Zillinger
Published in: Archive for Rational Mechanics and Analysis, Issue 50, 2021, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-021-01697-6

On enhanced dissipation for the Boussinesq equations

Author(s): Christian Zillinger
Published in: Journal of Differential Equations, Issue 6, 2021, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2021.02.029

On the Evolution of the Vortex Filament Equation for Regular $M$-Polygons with Nonzero Torsion

Author(s): Francisco de la Hoz; Sandeep Kumar; Luis Vega
Published in: SIAM Journal on Applied Mathematics, Issue 13, 2019, ISSN 0036-1399
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1272755

On the regularity of solutions to the k-generalized Korteweg-de Vries equation.

Author(s): C. E. Kenig, F. Linares, G. Ponce and L. Vega
Published in: Proceedings of the American Mathematical Society, 2018, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/13506

Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications

Author(s): Zhen-Hang Yang; Shenzhou Zheng
Published in: Mathematical Inequalities & Applications, Issue 4, 2018, ISSN 1331-4343
Publisher: Element d.o.o.
DOI: 10.7153/mia-2018-21-09

Discrepancy of Minimal Riesz Energy Points

Author(s): Jordi Marzo; Albert Mas
Published in: Constructive Approximation, Issue 6, 2021, ISSN 0176-4276
Publisher: Springer Verlag
DOI: 10.1007/s00365-021-09534-5

On the unique continuation of solutions to non-local non-linear dispersive equations

Author(s): Carlos E. Kenig; Didier Pilod; Gustavo Ponce; Luis Vega
Published in: Communications in Partial Differential Equations, Issue 20, 2020, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2020.1739707

The Talbot effect as the fundamental solution to the free Schrödinger equation

Author(s): Daniel Eceizabarrena
Published in: PORTUGALIAE MATHEMATICA, 2021, ISSN 0032-5155
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/pm/2068

Convergence over fractals for the Schrödinger equation

Author(s): Lucà, R.; Ponce Vanegas, F.
Published in: Indiana University Mathematics Journal, Issue 19, 2021, ISSN 0022-2518
Publisher: Indiana University Press

Reconstruction of the derivative of the conductivity at the boundary

Author(s): Felipe Ponce-Vanegas
Published in: Inverse Problems and Imaging, Issue 5, 2020, ISSN 1930-8337
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/ipi.2020032

Some geometric properties of Riemann's non-differentiable function

Author(s): Daniel Eceizabarrena
Published in: Comptes Rendus Mathematique, Issue 29, 2019, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.1016/j.crma.2019.10.007

On Echo Chains in Landau damping: Self-similar Solutions and Gevrey 3 as a Linear Stability Threshold

Author(s): Zillinger, Christian
Published in: Annals of PDE, Issue 16, 2021, ISSN 2199-2576
Publisher: Springer Nature Switzerland AG
DOI: 10.1007/s40818-020-00090-y

Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere

Author(s): Gonçalves, Felipe; Negro, Giuseppe
Published in: Analysis & PDE, Issue 32, 2021, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers

An Uncertainty Principle for Solutions of the Schrödinger Equation on H-Type Groups

Author(s): Aingeru Fernández Bertolin; Philippe Jaming; Salvador Pérez-Esteva
Published in: Journal of Australian Mathematical Society, In press, Issue 36, 2021, ISSN 1446-7887
Publisher: Australian Mathematical Society
DOI: 10.1017/s1446788720000026

Author(s): Susana Gutiérrez; André de Laire
Published in: Journal of Evolution Equations volume, 2021, ISSN 1424-3199
Publisher: Birkhauser Verlag
DOI: 10.1007/s00028-020-00589-8

Author(s): Correia, Simão; Côte, Raphaël; Vega, Luis
Published in: "International Mathematics Research Notices, Oxford University Press (OUP), 2021, ⟨10.1093/imrn/rnz383⟩", Issue 3, 2021, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz383

On the energy of critical solutions of the binormal flow

Author(s): Valeria Banica; Luis Vega
Published in: Communications in Partial Differential Equations, Issue 4, 2020, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2020.1738460

"Erratum: ""Self-adjoint extensions of Dirac operators with Coulomb type singularity"" [J. Math. Phys. 54, 041504 (2013)]"

Author(s): Naiara Arrizabalaga; Javier Duoandikoetxea; Luis Vega
Published in: Journal of Mathematical Physics, Issue 34, 2018, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5008467

On the smallness condition in linear inviscid damping: monotonicity and resonance chains

Author(s): Yu Deng; Christian Zillinger
Published in: Nonlinearity, Issue 36, 2020, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aba236

Some lower bounds for solutions of Schrodinger evolutions

Author(s): Agirre, Mikel; Vega, Luis
Published in: SIAM Journal on Mathematical Analysis, Issue 2, 2019, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1218133

Dirac operators and shell interactions: a survey

Author(s): Thomas Ourmières-Bonafos, Fabio Pizzichillo
Published in: Mathematical Challenges of Zero-Range Physics. Springer INdAM Serie, 2021, ISSN 2281-5198
Publisher: Springer
DOI: 10.1007/978-3-030-60453-0_5

A Sharp Lorentz-Invariant Strichartz Norm Expansion for the Cubic Wave Equation in ℝ1+3

Author(s): Giuseppe Negro
Published in: The Quarterly Journal of Mathematics, Issue 42, 2020, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmathj/haz053

Convexity properties of discrete Schrödinger evolutions

Author(s): Aingeru Fernández-Bertolin
Published in: Journal of Evolution Equations, Issue 27, 2020, ISSN 1424-3199
Publisher: Birkhauser Verlag
DOI: 10.1007/s00028-019-00524-6

Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations

Author(s): Cassano, Biagio; Pizzichillo, Fabio
Published in: Journal of Mathematical Physics, Issue 70, 2019, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5063986

An Isoperimetric-Type Inequality for Electrostatic Shell Interactions for Dirac Operators

Author(s): Naiara Arrizabalaga, Albert Mas, Luis Vega
Published in: Communications in Mathematical Physics, Issue 344/2, 2016, Page(s) 483-505, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-015-2481-y

Sharp exponential localization for eigenfunctions of the Dirac Operator

Author(s): Cassano, Biagio
Published in: Communications in Contemporary Mathematics, 2017, ISSN 0219-1997
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0219199720500789

Discreteness of transmission eigenvalues for higher-order main terms and perturbations

Author(s): García A.; Vesalainen E.V.; Zubeldia M.
Published in: SIAM Journal on Mathematical Analysis, 2016, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1053323

Spectral Transitions for Aharonov-Bohm Laplacians on Conical Layers

Author(s): Krejčiřík D.; Lotoreichik V.; Ourmières-Bonafos T.
Published in: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2018, ISSN 0308-2105
Publisher: The RSE Scotland Foundation
DOI: 10.1017/prm.2018.64

Self-Adjoint Extensions for the Dirac Operator with Coulomb-Type Spherically Symmetric Potentials

Author(s): Cassano, Biagio; Pizzichillo, Fabio
Published in: Letters in Mathematical Physics, 2018, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-018-1093-9

Asymptotic behaviour for fractional diffusion-convection equations

Author(s): Ignat L.; Stan D.
Published in: Journal of the London Mathematical Society, 2018, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12110

The relativistic spherical $\delta$-shell interaction in $\mathbb{R}^3$: spectrum and approximation

Author(s): Mas A.; Pizzichillo F.
Published in: Journal of Mathematical Physics, Issue 3, 2017, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5000381

Klein’s paradox and the relativistic δ-shell interaction in ℝ3

Author(s): Albert Mas, Fabio Pizzichillo
Published in: Analysis & PDE, Issue 11/3, 2018, Page(s) 705-744, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2018.11.705

Spectral asymptotics for δ -interactions on sharp cones

Author(s): Thomas Ourmières-Bonafos, Konstantin Pankrashkin, Fabio Pizzichillo
Published in: Journal of Mathematical Analysis and Applications, Issue 458/1, 2018, Page(s) 566-589, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2017.09.026

Weighted Lorentz and Lorentz–Morrey estimates to viscosity solutions of fully nonlinear elliptic equations

Author(s): Junjie Zhang, Shenzhou Zheng
Published in: Complex Variables and Elliptic Equations, Issue 63/9, 2017, Page(s) 1271-1289, ISSN 1747-6933
Publisher: Taylor & Francis
DOI: 10.1080/17476933.2017.1357707

Gaussian Decay of Harmonic Oscillators and related models

Author(s): Cassano B.; Fanelli L.
Published in: Journal of Mathematical Analysis and Applications, 2017, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2017.06.067

Singularity formation for the 1-D cubic NLS and the Schrödinger map on $\mathbb{S}^2$

Author(s): Banica V.; Vega L.
Published in: Communications on Pure & Applied Analysis, 2017, ISSN 1534-0392
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2018064

A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions

Author(s): Ourmières-Bonafos T.; Vega L.
Published in: Publications Matematiques, 2017, ISSN 0214-1493
Publisher: Universitat de Barcelona
DOI: 10.5565/publmat6221804

On the MIT Bag Model in the Non-relativistic Limit

Author(s): N. Arrizabalaga, L. Le Treust, N. Raymond
Published in: Communications in Mathematical Physics, 2017, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-017-2916-8

Stable and unstable time quasi periodic solutions for a system of coupled NLS equations

Author(s): B. Grébert, V. Vilaça Da Rocha
Published in: Nonlinearity, 2018, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aad3d9

Author(s): Susana Gutiérrez, André de Laire
Published in: Nonlinearity, Issue 28/5, 2015, Page(s) 1307-1350, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/0951-7715/28/5/1307

Evolution of polygonal lines by the binormal flow

Author(s): Valeria Banica, Luis Vega
Published in: annals of PDE, 2018, ISSN 2199-2576
Publisher: Springer Nature Switzerland AG
DOI: 10.1007/s40818-020-0078-z

Absence of eigenvalues of two-dimensional magnetic Schroedinger operators

Author(s): Luca Fanelli, David Krejcirik, Luis Vega
Published in: Journal of Functional Analysis, 2018, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2018.08.007

Spectral stability of Schrödinger operators with subordinated complex potentials

Author(s): Luca Fanelli, David Krejčiřík, Luis Vega
Published in: Journal of Spectral Theory, Issue 8/2, 2018, Page(s) 575-604, ISSN 1664-0403
Publisher: European Mathematical SocietY
DOI: 10.4171/JST/208

On the improvement of the Hardy inequality due to singular magnetic fields

Author(s): Krejcirik, David; Laptev, Ari; Fanelli, Luca; Vega, Luis
Published in: Communications in Partial Differential Equations, 2018, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2020.1763399

Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation

Author(s): Correia, Simão; Côte,Raphaël; Vega, Luis
Published in: Journal de Mathématiques Pures et Appliquées, 2018, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2020.03.013

From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations

Author(s): Aingeru Fernandez-Bertolin, Karlheinz Gröchenig, Philippe Jaming
Published in: Journal of Mathematical Analysis and Applications, 2018, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2018.09.008

Uniqueness properties for discrete equations and Carleman estimates

Author(s): Aingeru Fernández Bertolin, Luis Vega
Published in: Journal of Functional Analysis, Issue 272/11, 2017, Page(s) 4853-4869, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2017.03.006

Hardy Uncertainty Principle, Convexity and Parabolic Evolutions

Author(s): L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega
Published in: Communications in Mathematical Physics, Issue 346/2, 2016, Page(s) 667-678, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-015-2500-z

On the bound states of Schrödinger operators with δ-interactions on conical surfaces

Author(s): Vladimir Lotoreichik, Thomas Ourmières-Bonafos
Published in: Communications in Partial Differential Equations, Issue 41/6, 2016, Page(s) 999-1028, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2016.1168843

Uniqueness properties of solutions to the Benjamin-Ono equation and related models

Author(s): Carlos E. Kenig; Gustavo Ponce; Luis Vega; Luis Vega
Published in: Journal of Functional Analysis, Issue 22, 2020, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2019.108396

On the Relationship between the One-Corner Problem and the $M$-Corner Problem for the Vortex Filament Equation

Author(s): de la Hoz, Francisco; Vega, Luis
Published in: Journal of Nonlinear Science, Issue 20, 2018, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-018-9477-7

Endpoint Sobolev continuity of the fractional maximal function in higher dimensions

Author(s): David Beltran; José Madrid
Published in: International Mathematics Research Notices, Issue 1, 2019, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz281

Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane

Author(s): Francisco de la Hoz; Sandeep Kumar; Luis Vega
Published in: Journal of Nonlinear Science, Issue 57, 2021, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-021-09757-7

Discrete Carleman estimates and three balls inequalitie

Author(s): A. Fernández-Bertolin, L. Roncal, A. Rüland, D. Stan
Published in: Cal. Var. Partial Differential Equations, 2021, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-021-02098-z

Sparse bounds for pseudodifferential operators

Author(s): David Beltran; Laura Cladek
Published in: Journal d'Analyse Mathématique, Issue 71, 2018, ISSN 0021-7670
Publisher: Magnes Press
DOI: 10.1007/s11854-020-0083-x

The circular maximal operator on Heisenberg radial functions

Author(s): David Beltran, Shaoming Guo, Jonathan Hickman, Andreas Seeger
Published in: The Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2021, ISSN 0391-173X
Publisher: Stampacchia Guido
DOI: 10.2422/2036-2145.202001_006

Carleman type inequalities for fractional relativistic operators

Author(s): Roncal, Luz; Stan, Diana; Vega, Luis
Published in: Revista Matemática Complutense, Issue 9, 2021, ISSN 1139-1138
Publisher: Universidad Complutense de Madrid
DOI: 10.1007/s13163-021-00421-y

On the Schrödinger map for regular helical polygons in the hyperbolic space

Author(s): Sandeep Kumar
Published in: Nonlinearity, Issue 45, 2021, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac355c

Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds

Author(s): David Beltran; Jonathan Hickman; Christopher D. Sogge
Published in: Analysis & PDE, Issue 71, 2018, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2020.13.403

A bilinear strategy for Calderón's problem

Author(s): Felipe Ponce-Vanegas
Published in: Revista Matemática Iberoamericana, Issue 9, 2021, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1257

Intermittency of Riemann's non-differentiable function through the fourth-order flatness

Author(s): Alexandre Boritchev; Daniel Eceizabarrena; Victor Vilaça da Rocha
Published in: Journal of Mathematical Physics, Issue 53, 2021, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0011569

Numerical Approximation of the Fractional Laplacian on R Using Orthogonal Families

Author(s): J. Cayama, C. M. Cuesta, F. de la Hoz
Published in: Applied Numerical Mathematics, 2021, ISSN 0168-9274
Publisher: Elsevier BV
DOI: 10.1016/j.apnum.2020.07.024

Linear inviscid damping in Sobolev and Gevrey spaces

Author(s): Christian Zillinger
Published in: Nonlinear Analysis, Issue 55, 2021, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2021.112492

Uniqueness for solutions of the Schrödinger equation on trees

Author(s): Fernández-Bertolin, Aingeru; Jaming, Philippe
Published in: Annali di Matematica Pura ed Applicata, Issue 5, 2020, ISSN 0373-3114
Publisher: Nicola Zanichelli
DOI: 10.1007/s10231-019-00896-z

Bilinear identities involving the k-plane transform and Fourier extension operators

Author(s): David Beltran; Luis Vega
Published in: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Issue 19, 2020, ISSN 0308-2105
Publisher: The RSE Scotland Foundation
DOI: 10.1017/prm.2019.74

The MIT Bag Model as an infinite mass limit

Author(s): Naiara Arrizabalaga; Loïc Le Treust; Albert Mas; Nicolas Raymond
Published in: Journal de l’École Polytechnique Mathematiques, Issue 45, 2019, ISSN 2429-7100
Publisher: Journal de l’École Polytechnique Mathematiques
DOI: 10.5802/jep.95

Extension operator for the MIT Bag Model

Author(s): Naiara Arrizabalaga; Loïc Le Treust; Nicolas Raymond
Published in: Annales de la Faculté des sciences de Toulouse : Mathématiques, Issue 49, 2020, ISSN 0240-2963
Publisher: Faculté des sciences de Toulouse
DOI: 10.5802/afst.1627

Regularity of fractional maximal functions through Fourier multipliers

Author(s): Beltran, David; Ramos, João Pedro; Saari, Olli
Published in: Journal of Functional Analysis, Issue 56, 2019, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2018.11.004

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on R

Author(s): Jorge Cayama, Carlota M. Cuesta, Francisco de la Hoz
Published in: Applied Mathematics and Computation, 2021, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2020.125577

Hardy's uncertainty principle and unique continuation property for stochastic heat equations

Author(s): A. Fernández-Bertolin, J. Zhong.
Published in: ESAIM: Control Optim. Calc. Var, 2021, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2019009

On the Hausdorff dimension of Riemann's non-differentiable function

Author(s): Daniel Eceizabarrena
Published in: Trans. Amer. Math. Soc., 2021, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8489

Dynamical versions of Hardy’s uncertainty principle: A survey

Author(s): Aingeru Fernández Bertolin; Eugenia Malinnikova
Published in: Bulletin of the AMS, Issue 6, 2021, ISSN 0273-0979
Publisher: American Mathematical Society
DOI: 10.1090/bull/1729

Self-Adjointness of two dimensional Dirac operators on corner domains

Author(s): Fabio Pizzichillo, Hanne Van Den Bosch
Published in: JOURNAL OF SPECTRAL THEORY, 2021, ISSN 1664-0403
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jst/365

A Hardy-type inequality and some spectral characterizations for the Dirac–Coulomb operator

Author(s): Biagio Cassano; Fabio Pizzichillo; Luis Vega; Luis Vega
Published in: Revista Matemática Complutense, Issue 21, 2020, ISSN 1139-1138
Publisher: Universidad Complutense de Madrid
DOI: 10.1007/s13163-019-00311-4

A geometric and physical study of Riemann's non-differentiable function

Author(s): Eceizabarrena, D.
Published in: Issue 38, 2020
Publisher: UPV/EHU

The Schrödinger equation and Uncertainty Principles

Author(s): Aguirre, M.
Published in: Issue 20, 2020
Publisher: UPV/EHU

Pseudospectral Methods for the Fractional Laplacian on R

Author(s): Cayama, J.
Published in: Issue 21, 2020
Publisher: UPV/EHU

Singular Perturbation of the Dirac Hamiltonian

Author(s): Pizzichillo F.
Published in: 2017
Publisher: BIRD

Singular Perturbation of the Dirac Hamiltonian

Author(s): Pizzichillo, F.
Published in: Issue 1, 2018
Publisher: UPV/EHU

Vortex Filament Equation for some Regular Polygonal Curves

Author(s): Kumar, Sandeep
Published in: Issue 47, 2020
Publisher: UPV/EHU

Geometric differentiability of Riemann's non-differentiable function

Author(s): Daniel Eceizabarrena
Published in: Advances in Mathematics, Issue 38, 2020, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2020.107091

Recent progress on the vortex filament equation for regular polygons

Author(s): Sandeep Kumar
Published in: 2021
Publisher: TEMatmonográficos

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