Global L Ο± bound and uniqueness results about the Dirichlet problem, yβ¬u q β£ u s u Ε½ nq2.rΕ½ ny2. , u G 0 in β, u s 0 on Ρ¨ β, are obtained, where β ; β«ήβ¬ n Ε½ . Ε½ . n G 3 is a bounded smooth domain and β£ g 0, is close to , the first 1 1 eigenvalue of yβ¬ with Dirichlet boundary condition.
Dirichlet operators: A priori estimates and the uniqueness problem
β Scribed by V.A Liskevich; Yu.A Semenov
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 578 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0022-1236
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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
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