Convergence and uniqueness problems for Dirichlet forms on fractals
β Scribed by Peirone R.
- Book ID
- 127404404
- Tongue
- English
- Weight
- 603 KB
- Category
- Library
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π SIMILAR VOLUMES
In this paper we study the uniqueness problem for the classical Dirichlet form on a weighted real L 2 -space when the underlying space is finite dimensional. The associated operator H, called the Dirichlet operator, when restricted to the domain of smooth functions, takes the form &2&; } { where ; i
## 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