Analysis of Geometrical Effects on Dispersive Equations

Project Information

ANADEL

Grant agreement ID: 757996

DOI

10.3030/757996

Project closed

EC signature date 22 September 2017

Start date 1 February 2018

End date 31 July 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 293 763,00

EU contribution

€ 1 293 763,00

Coordinated by

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

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

Other (3)

Controllability of a Coupled Wave System with a Single Control and Different Speeds,

Author(s): Jingrui Niu, Pierre Lissy
Published in: 2023
Publisher: arXiv

A non-linear Egorov theorem and Poincaré-Birkhoff normal forms for quasi-linear pdes on the circle

Author(s): Roberto Feola, Felice Iandoli
Published in: preprint online, 2020
Publisher: submitted to publication

Dispersion for the wave and Schrödinger equations outside a ball and counterexamples

Author(s): Oana Ivanovici, Gilles Lebeau
Published in: 2020
Publisher: arXiv

Conference proceedings (1)

Dispersive estimates for the wave equation outside a strictly convex obstacle in R^3

Author(s): Oana Ivanovici
Published in: 2023
Publisher: Mathematisches Forschungsinstitut Oberwolfach

Book chapters (1)

On the Cauchy Problem for Quasi-Linear Hamiltonian KdV-Type Equations

Author(s): Felice Iandoli
Published in: Springer INdAM Series, Qualitative Properties of Dispersive PDEs, 2022, Page(s) 167-186
Publisher: Springer Nature Singapore
DOI: 10.1007/978-981-19-6434-3_8

Peer reviewed articles (15)

"Dispersion for the wave equation outside a cylinder in <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML"" altimg=""si1.svg""><mml:msup><mml:mrow><mml:mi mathvariant=""double-struck"">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>"

Author(s): Felice Iandoli, Oana Ivanovici
Published in: Journal of Functional Analysis, Issue 286, 2024, Page(s) 110377, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110377

Long time existence for fully nonlinear NLS with small Cauchy data on the circle

Author(s): Roberto Feola, Felice Iandoli
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021, Page(s) 109-182, ISSN 0391-173X
Publisher: Stampacchia Guido
DOI: 10.2422/2036-2145.201811_003

Dispersive estimates for the wave and the Klein-Gordon equations in large time inside the Friedlander domain

Author(s): Oana Ivanovici
Published in: Discrete &amp; Continuous Dynamical Systems, Issue 41, 2021, Page(s) 5707, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2021093

Growth of Sobolev norms for $2d$ NLS with harmonic potential

Author(s): Fabrice Planchon, Nikolay Tzvetkov, Nicola Visciglia
Published in: Revista Matemática Iberoamericana, Issue 39, 2024, Page(s) 1405-1436, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1371

Dispersive estimates for the Schrödinger equation in a model convex domain and applications

Author(s): Oana Ivanovici
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Issue 40, 2024, Page(s) 959-1008, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.4171/aihpc/75

Controllability of quasi-linear Hamiltonian Schrödinger equations on tori

Author(s): Felice Iandoli, Jingrui Niu
Published in: Journal of Differential Equations, Issue 390, 2024, Page(s) 125-170, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2024.01.032

Long time solutions for quasilinear Hamiltonianperturbations of Schrödinger and Klein–Gordon equations on tori

Author(s): Roberto Feola, Benoît Grébert, Felice Iandoli
Published in: Analysis &amp; PDE, Issue 16, 2023, Page(s) 1133-1203, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2023.16.1133

Long-time stability of the quantum hydrodynamic system on irrational tori

Author(s): Roberto Feola, null null, Felice Iandoli, Federico Murgante, null null, null null
Published in: Mathematics in Engineering, Issue 4, 2023, Page(s) 1-24, ISSN 2640-3501
Publisher: AIMS Press
DOI: 10.3934/mine.2022023

"New counterexamples to Strichartz estimates for the wave equation on a <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML""><mml:mn>2</mml:mn></mml:math>D model convex domain"

Author(s): Oana Ivanovici, Gilles Lebeau, Fabrice Planchon
Published in: Journal de l’École polytechnique — Mathématiques, Issue 8, 2022, Page(s) 1133-1157, ISSN 2270-518X
Publisher: Ecole Polytechnique
DOI: 10.5802/jep.168

Local well-posedness for the quasi-linear Hamiltonian Schrödinger equation on tori

Author(s): Roberto Feola, Felice Iandoli
Published in: Journal de Mathématiques Pures et Appliquées, Issue 157, 2024, Page(s) 243-281, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2021.11.009

Strichartz estimates for the wave equation on a 2D model convex domain

Author(s): Oana Ivanovici, Gilles Lebeau, Fabrice Planchon
Published in: Journal of Differential Equations, Issue 300, 2022, Page(s) 830-880, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2021.08.011

Long-Time Existence for Semi-linear Beam Equations on Irrational Tori

Author(s): Joackim Bernier, Roberto Feola, Benoît Grébert, Felice Iandoli
Published in: Journal of Dynamics and Differential Equations, Issue 33, 2022, Page(s) 1363-1398, ISSN 1040-7294
Publisher: Plenum Publishers
DOI: 10.1007/s10884-021-09959-3

Modified energies for the periodic generalized KdV equation and applications

Author(s): Fabrice Planchon, Nikolay Tzvetkov, Nicola Visciglia
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Issue 40, 2024, Page(s) 863-917, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.4171/aihpc/62

Dispersion for the Wave Equation Inside Strictly Convex Domains II: The General Case

Author(s): Oana Ivanovici, Richard Lascar, Gilles Lebeau, Fabrice Planchon
Published in: Annals of PDE, Issue 9, 2023, ISSN 2524-5317
Publisher: Springer
DOI: 10.1007/s40818-023-00151-y

Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation

Author(s): Fabrice Planchon, Nikolay Tzvetkov, Nicola Visciglia
Published in: Mathematische Annalen, Issue 378, 2020, Page(s) 389-423, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-019-01879-4