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Global weak solutions for a generalized Dullin-Gottwald-Holm equation in the space H ( R )
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lai, Shaoyong Wu, Meng |
| Copyright Year | 2014 |
| Abstract | *Correspondence: Laishaoy@swufe.edu.cn Department of Mathematics, Southwestern University of Finance and Economics, Chengdu, 610074, China Abstract The existence of global weak solutions of the Cauchy problem for a generalized Dullin-Gottwald-Holm equation is established under the assumption that the initial value u0(x) merely lies in the space H1(R). The limit of the viscous approximation for the equation is used to prove the global existence in the space C([0,∞)× R)∩ L∞([0,∞);H1(R)). The elements in our study include a one-sided super bound estimate and a space-time higher-norm estimate on the first order derivative of the solution with respect to the space variable. MSC: 35Q35; 35Q51 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://boundaryvalueproblems.springeropen.com/track/pdf/10.1186/s13661-014-0203-6 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
