Growth of Sobolev norms for \(2 d\) NLS with harmonic potential

DOI10.4171/rmi/1371zbMath1519.35300arXiv2110.14912OpenAlexW3211134930MaRDI QIDQ6172763

Fabrice Planchon, Nickolay Tzvetkov, Nicola Visciglia

Publication date: 20 July 2023

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.14912

zbMATH Keywords

nonlinear Schrödinger equationsbilinear estimatesgrowth of Sobolev norms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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