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Global conservative solutions of the Camassa-Holm equation for initial data nonvanishing asymptotics

Katrin Grunert·Helge Holden·Xavier Raynaud
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Abstract

We study global conservative solutions of the Cauchy problem for the Camassa-Holm equation $u_t-u_{txx}+\kappa u_x+3uu_x-2u_xu_{xx}-uu_{xxx}=0$ with nonvanishing and distinct spatial asymptotics.

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Katrin Grunert, Helge Holden, Xavier Raynaud. 2011-06-21. Global conservative solutions of the Camassa-Holm equation for initial data nonvanishing asymptotics. https://doi.org/10.3934/dcds.2012.32.4209

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