A Priori Estimates for the Derivative Nonlinear Schrödinger Equation

DOI10.1619/FESI.65.329OpenAlexW4310296728MaRDI QIDQ5881846

Friedrich Klaus, Robert Schippa

Publication date: 13 March 2023

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.13161

zbMATH Keywords

a priori estimatesintegrable PDEDNLSperturbation determinant

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

On the well-posedness problem for the derivative nonlinear Schrödinger equation ⋮ Microscopic conservation laws for the derivative nonlinear Schrödinger equation

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