Existence theorems for the Dirichlet problem without growth restrictions
β Scribed by Armando Rodriguez; Antonio Tineo
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 312 KB
- Volume
- 135
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
A global existence and uniqueness theorem of strong solutions for the initialboundary-value problem with Dirichlet boundary conditions is established for small forcing and small initial data. An exponential C 0 decay rate is also established and the solution is shown to be classical for t ) 0. The p
## Abstract Two results on the existence and uniqueness for the __p__(__x__)βLaplacianβDirichlet problem β__div__(|β__u__|^__p__(__x__) β 2^β__u__) = __f__(__x__, __u__) in Ξ©, __u__ = 0 on βΞ©, are obtained. The first one deals with the case that __f__(__x__, __u__) is nonincreasing in __u__. The se