The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R)

The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R)

The existence of global weak solutions to the Cauchy problem for a weakly dissipative Camassa-Holm equation is established in the space C([0,∞)×R)nL∞([0,∞);H1(R)) under the assumption that the initial value u 0 (x) only belongs to the space H 1 (R) . The limit of viscous approximations, a one-sided...

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Bibliographic Details
Main Authors: Lai, S., Li, N., Wu, Yong Hong
Format: Journal Article
Published: SpringerOpen 2013
Subjects:
global weak solution
Camassa-Holm type equation
existence
Online Access:http://hdl.handle.net/20.500.11937/11326

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