On existence and uniqueness of the global weak solution for a shallow water equation
A shallow water equation including the Camassa–Holm and Degasperis–Procesi equations as special cases is investigated. Provided that initial value uo ε H1 (R), uo ε L1 (R), and (1 - 2x)uo does not change sign, the existence and uniqueness of global weak solution for the equation are established....
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier Inc.
2012
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/39880 |