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Convergence and uniqueness problems for Dirichlet forms on fractals

✍ Scribed by Peirone R.


Book ID
127404404
Tongue
English
Weight
603 KB
Category
Library

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πŸ“œ SIMILAR VOLUMES


Derivations and Dirichlet forms on fract
✍ Marius Ionescu; Luke G. Rogers; Alexander Teplyaev πŸ“‚ Article πŸ“… 2012 πŸ› Elsevier Science 🌐 English βš– 298 KB
On the Uniqueness Problem for Dirichlet
✍ Vitali Liskevich πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 134 KB

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

Existence and uniqueness for the p(x)-La
✍ Xianling Fan πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 140 KB

## Abstract Two results on the existence and uniqueness for the __p__(__x__)‐Laplacian‐Dirichlet problem βˆ’__div__(|βˆ‡__u__|^__p__(__x__) βˆ’ 2^βˆ‡__u__) = __f__(__x__, __u__) in Ξ©, __u__ = 0 on βˆ‚Ξ©, are obtained. The first one deals with the case that __f__(__x__, __u__) is nonincreasing in __u__. The se