On sharpness of the local Kato-smoothing property for dispersive wave equations

DOI10.1090/PROC/13286zbMath1355.35030arXiv1603.08271OpenAlexW2963963997MaRDI QIDQ5298189

Bing-Yu Zhang, Ning Zhong, Emmanuel Trélat, Shu Ming Sun

Publication date: 14 December 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08271

zbMATH Keywords

one space dimensionsharpness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

Nonhomogeneous boundary value problems for the complex Ginzburg–Landau equation posed on a finite interval ⋮ Global Kato type smoothing estimates via local ones for dispersive equations ⋮ Kato smoothing properties of a class of nonlinear dispersive wave equations on a periodic domain ⋮ Sharp Kato smoothing properties of weakly dissipated KdV equations with variable coefficients on a periodic domain

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