The H1(R) Space Global Weak Solutions to the Weakly Dissipative Camassa-Holm Equation
The existence of global weak solutions to the Cauchy problem for a generalized Camassa-Holm equation with a dissipative term is investigated in the space C([0,∞) × R)∩L∞([0,∞); H1(R)) provided that its initial value u0(x) belongs to the space H1(R). A one-sided super bound estimate and a space-time...
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| Main Authors: | Zhaowei Sheng, Shaoyong Lai, Yuan Ma, Xuanjun Luo |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/693010 |
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