Spiked traveling waves and ill-posedness for the Camassa-Holm equation on the circle

zbMath1072.35016MaRDI QIDQ1766869

Peter Byers

Publication date: 1 March 2005

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic initial value problemlocally well-posed problem

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Ill-posed problems for PDEs (35R25)

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