Kato smoothing properties of a class of nonlinear dispersive wave equations on a periodic domain

DOI10.1051/cocv/2021012zbMath1468.35031OpenAlexW3124473996MaRDI QIDQ4999560

Ning Zhong, Bing-Yu Zhang, Xin Yang, Shu Ming Sun

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2021012

zbMATH Keywords

KdV equationKdV-Burgers equationKato smoothing propertysharp Kato smoothing property

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for second-order parabolic systems (35K45)

Related Items (1)

Sharp Kato smoothing properties of weakly dissipated KdV equations with variable coefficients on a periodic domain

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