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...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
SpringerOpen
2013
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/11326 |