On well-posedness, regularity and ill-posedness for the nonlinear fourth-order Schrödinger equation

zbMath1404.35411arXiv1703.00891MaRDI QIDQ1616338

Van Duong Dinh

Publication date: 1 November 2018

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00891

zbMATH Keywords

regularitylocal well-posednessill-posednessnonlinear fourth-order Schrödinger

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear higher-order PDEs (35G20) Initial value problems for nonlinear higher-order PDEs (35G25) Nonlinear ill-posed problems (47J06)

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