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

preprint2011arXivOpen access

Katrin Grunert Helge Holden Xavier Raynaud

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

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