Cauchy problem of the generalized double dispersion equation
β Scribed by Shubin Wang; Guowang Chen
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 172 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper, the existence and the uniqueness of the global solution for the Cauchy problem of the generalized double dispersion equation are proved. The blow-up of the solution for the Cauchy problem of the generalized double dispersion equation is discussed by the concavity method under some conditions.
π SIMILAR VOLUMES
In this paper, we study the Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities u tt u xx C u xxxx C f .u/ xx D 0, where f .u/ D P l kD1 a k juj pk 1 u or P l kD1 a k juj pk 1 u P m jD1 b j juj qj 1 u. The arguments powered by potential well method combined with