Well-posedness for the supercritical gKdV equation

DOI10.3934/cpaa.2014.13.527zbMath1307.35266arXiv1209.5206OpenAlexW3102932654MaRDI QIDQ380149

Nils Strunk

Publication date: 13 November 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5206

zbMATH Keywords

Besov spaceCauchy problemwell-posednessKorteweg-de Vries equationsupercriticalKdV-like equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

On asymptotic dynamics for \(L^2\) critical generalized KdV equations with a saturated perturbation ⋮ Adapted Function Spaces for Dispersive Equations ⋮ Probabilistic well-posedness of generalized KdV ⋮ Blow-up solutions forL²supercritical gKdV equations with exactlykblow-up points ⋮ The generalized Korteweg-de Vries equation with time oscillating nonlinearity in scale critical Sobolev space ⋮ Stable self-similar blow-up dynamics for slightly \(L^2\)-supercritical generalized KdV equations ⋮ Travelling wave solutions on a non-zero background for the generalized Korteweg–de Vries equation

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