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

DOI10.1016/j.matpur.2021.11.009zbMath1483.35208arXiv2003.04815OpenAlexW3213009483WikidataQ114148600 ScholiaQ114148600MaRDI QIDQ2065078

Felice Iandoli, Roberto Feola

Publication date: 7 January 2022

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04815

zbMATH Keywords

energy estimateswell-posednesspara-differential calculusHamiltonian Pde'squasi-linear Schrödinger

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items

Birkhoff normal forms for Hamiltonian PDEs in their energy space, Long-time stability of the quantum hydrodynamic system on irrational tori, Local well posedness for a system of quasilinear PDEs modelling suspension bridges, Controllability of quasi-linear Hamiltonian Schrödinger equations on tori

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