Quasiconformal Methods in Analysis and Applications

Project Information

QUAMAP

Grant agreement ID: 834728

DOI 10.3030/834728

EC signature date 17 April 2019

Start date 1 September 2019

End date 31 August 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 2 280 350,00

EU contribution € 2 280 350,00

Coordinated by

HELSINGIN YLIOPISTO
Finland

Publications

Peer reviewed articles (39)

On a Higher Dimensional Version of the Benjamin--Ono Equation

Author(s): Jonathan Hickman, Felipe Linares, Oscar G. Rian͂o, Keith M. Rogers, James Wright
Published in: SIAM Journal on Mathematical Analysis, Issue 51/6, 2019, Page(s) 4544-4569, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1241970

Rigorous results on conserved and dissipated quantities in ideal MHD turbulence

Author(s): Daniel Faraco; Sauli Lindberg; László Székelyhidi
Published in: Geophysical & Astrophysical Fluid Dynamics, Issue 116, 2022, ISSN 0309-1929
Publisher: Taylor & Francis
DOI: 10.1080/03091929.2022.2060964

The two-phase problem for harmonic measure in VMO

Author(s): Martí Prats, Xavier Tolsa
Published in: Calculus of Variations and Partial Differential Equations, Issue 59/3, 2020, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-020-01760-2

Steady-state solutions for the Muskat problem

Author(s): Omar Sánchez
Published in: Collectanea Mathematica, Issue 74, 2023, ISSN 0010-0757
Publisher: Seminario Matematico de Barcelona
DOI: 10.1007/s13348-021-00348-z

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces

Author(s): André Guerra, Lukas Koch, Sauli Lindberg
Published in: Calculus of Variations and Partial Differential Equations, Issue 60/2, 2021, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-021-01931-9

On the proof of Taylor’s conjecture in multiply connected domains

Author(s): Daniel Faraco, Sauli Lindberg, David MacTaggart, Alberto Valli
Published in: Applied Mathematics Letters, Issue 122, 2022, Page(s) Paper 107654, 7pp., ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2021.107654

Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity

Author(s): Marco Barchiesi, Duvan Henao, Carlos Mora-Corral, Rémy Rodiac
Published in: Archive for Rational Mechanics and Analysis, Issue 247, 2023, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-023-01897-2

Magnetic helicity, weak solutions and relaxation of ideal MHD

Author(s): Faraco, Daniel; Lindberg, Sauli; Székelyhidi Jr, László
Published in: Communications on Pure and Applied Mathematics, Issue 77, 2024, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.22168

Improved bounds for the Kakeya maximal conjecture in higher dimensions

Author(s): Hickman, Jonathan; Rogers, Keith M.; Zhang, Ruixiang
Published in: American Journal of Mathematics, Issue 144, 2022, ISSN 0002-9327
Publisher: The Johns Hopkins University Press
DOI: 10.1353/ajm.2022.0037

Bounded Solutions of Ideal MHD with Compact Support in Space-Time

Author(s): Daniel Faraco, Sauli Lindberg, László Székelyhidi
Published in: Archive for Rational Mechanics and Analysis, Issue 239/1, 2021, Page(s) 51-93, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-020-01570-y

Eringen’s model via linearization of nonlocal hyperelasticity

Author(s): José C Bellido; Javier Cueto; Carlos Mora-Corral
Published in: Mathematics and Mechanics of Solids, Issue 29, 2024, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/10812865231208437

Khinchin Families, Set Constructions, Partitions and Exponentials

Author(s): Cantón, Alicia; Fernández Pérez, José Luis; Fernández Gallardo, Pablo; Macía Medina, Víctor Joel
Published in: Mediterranean Journal of Mathematics, Issue 21, 2024, ISSN 1660-5446
Publisher: Birkhauser Verlag
DOI: 10.1007/s00009-023-02579-9

Sobolev homeomorphic extensions from two to three dimensions

Author(s): Stanislav Hencl; Aleksis Koski; Jani Onninen
Published in: Journal of Functional Analysis, Issue 286, 2024, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110371

Asymptotic Shallow Models Arising in Magnetohydrodynamics

Author(s): Diego Alonso-Orán
Published in: Water Waves, 2021, ISSN 2523-367X
Publisher: Springer
DOI: 10.1007/s42286-021-00050-4

On mappings of finite distortion that are quasiconformal in the unit disk

Author(s): Olli Hirviniemi, Lauri Hitruhin,István Prause, Eero Saksman
Published in: Journal d'Analyse Mathématique, Issue 149, 2023, ISSN 0021-7670
Publisher: Magnes Press
DOI: 10.1007/s11854-022-0248-x

Bi-Sobolev Extensions

Author(s): Koski, Aleksis; Onninen, Jani
Published in: The Journal of Geometric Analysis, Issue 33, 2023, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-023-01363-1

Off-diagonal estimates for the helical maximal function

Author(s): Beltran, David; Duncan, Jennifer; Hickman, Jonathan
Published in: Proceedings of the London Mathematical Society, Issue 128, 2023, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12594

Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs

Author(s): Guerra, André; Koch, Lukas; Lindberg, Sauli
Published in: Advances in Mathematics, Issue 415, 2023, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.108869

On the lack of compactness in the axisymmetric neo-Hookean model

Author(s): Marco Barchiesi, Duvan Henao, Carlos Mora-Corral, Rémy Rodiac
Published in: Forum of Mathematics, Sigma, Issue 12, 2024, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2024.9

Segmentation in Measure Spaces

Author(s): Salvador Moll, Vicent Pallardó-Julià, Marcos Solera
Published in: Applied Mathematics & Optimization, Issue 89, 2024, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-024-10134-5

Homogenization of iterated singular integrals with applications to random quasiconformal maps

Author(s): Astala, Kari; Rohde, Steffen; Saksman, Eero; Tao, Terence
Published in: Revista Matemática Iberoamericana, Issue 38, 2022, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1392

Unique determination of the electric potential in the presence of a fixed magnetic potential in the plane

Author(s): Pedro Caro, Keith Rogers
Published in: Journées Équations aux dérivées partielles, Issue 2019-06-19, 2018, Page(s) 1-9, ISSN 0752-0360
Publisher: CEDRAM, CNRS
DOI: 10.5802/jedp.667

Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion

Author(s): A. Clop; L. Hitruhin; B. Sengupta
Published in: The Journal of Geometric Analysis, Issue 32, 2022, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-022-00950-y

Improved Hölder regularity for strongly elliptic PDEs

Author(s): Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, Aleksis Koski
Published in: Journal de Mathématiques Pures et Appliquées, Issue 140, 2020, Page(s) 230-258, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2020.06.005

Mixing solutions for the Muskat problem

Author(s): A. Castro, D. Córdoba, D. Faraco
Published in: Inventiones mathematicae, 2021, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-021-01045-1

Energy Minimisers with Prescribed Jacobian.

Author(s): André Guerra, Lukas Koch, Sauli Lindberg
Published in: Archive for Rational Mechanics and Analysis, Issue 10, 2022, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-021-01699-4

Limiting Carleman weights and conformally transversally anisotropic manifolds

Author(s): Pablo Angulo, Daniel Faraco, Luis Guijarro, Mikko Salo
Published in: Transactions of the American Mathematical Society, Issue 373/7, 2020, Page(s) 5171-5197, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8072

Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity

Author(s): Martí Prats
Published in: Journal of Approximation Theory, Issue 297, 2024, ISSN 0021-9045
Publisher: Academic Press
DOI: 10.1016/j.jat.2023.105985

H-principle for the 2D incompressible porous media equation with viscosity jump

Author(s): Mengual, Francisco
Published in: Analysis & PDE, Issue 15, 2022, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2022.15.429

A nonlinear mean value property for Monge-Ampere

Author(s): Pablo Blanc, Fernando Charro, Juan Manfredi, Julio Rossi
Published in: Journal of Convex Analysis, Issue 28/2, 2021, Page(s) 353-386, ISSN 0944-6532
Publisher: Heldermann Verlag
DOI: 10.48550/arxiv.2006.10024

Remarks On Ornstein’s Non-Inequality In ℝ2×2

Author(s): Daniel Faraco, André Guerra
Published in: The Quarterly Journal of Mathematics, 2021, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmath/haab016

Localized Mixing Zone for Muskat Bubbles and Turned Interfaces

Author(s): Castro, A.; Faraco Hurtado, Daniel; Mengual, F.
Published in: Annals of PDE, Issue 8, 2022, ISSN 2199-2576
Publisher: Springer
DOI: 10.1007/s40818-022-00121-w

Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime

Author(s): Víctor Arnaiz, Ángel Castro, Daniel Faraco
Published in: Communications in Partial Differential Equations, Issue 46/1, 2021, Page(s) 135-164, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2020.1831019

Lamination Convex Hull of Stationary Incompressible Porous Media Equations

Author(s): Lauri Hitruhin, Sauli Lindberg
Published in: SIAM Journal on Mathematical Analysis, Issue 53/1, 2021, Page(s) 491-508, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m134633x

A Note on the Jacobian Problem of Coifman, Lions, Meyer and Semmes

Author(s): Sauli Lindberg
Published in: Journal of Fourier Analysis and Applications, Issue 29, 2023, ISSN 1069-5869
Publisher: Birkhaeuser
DOI: 10.1007/s00041-023-10041-3

Improved Fourier restriction estimates in higher dimensions

Author(s): Jonathan Hickman, Keith M. Rogers
Published in: Cambridge Journal of Mathematics, Issue 7/3, 2019, Page(s) 219-282, ISSN 2168-0930
Publisher: International Press
DOI: 10.4310/cjm.2019.v7.n3.a1

Minimizers for the Thin One-Phase Free Boundary Problem

Author(s): Max Engelstein, Aapo Kauranen, Marti Prats, Georgios Sakellaris, Yannick Sire
Published in: Communications on pure and applied mathematics, Issue 74/9, 2021, Page(s) 1971-2022, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.22011

Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign

Author(s): Mengual, Francisco; Székelyhidi, László
Published in: Communications on Pure and Applied Mathematics, Issue 76, 2024, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.22038

Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings

Author(s): José Carlos Bellido, Javier Cueto, Carlos Mora-Corral
Published in: Advances in Nonlinear Analysis, Issue 12, 2023, ISSN 2191-950X
Publisher: De Gruyter
DOI: 10.1515/anona-2022-0316