An averaging operator on the Dirichlet space
β Scribed by H.C Rhaly Jr.
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 242 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0022-247X
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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
In working with negations and t-norms, it is not uncommon to call upon the arithmetic of the real numbers even though that is not part of the structure of the unit interval as a bounded lattice. To develop a self-contained system, we incorporate an averaging Ε½ . operator, which provides a continuous
## Abstract In this paper, we consider the asymptotic Dirichlet problem for the SchrΓΆdinger operator on a CartanβHadamard manifold with suitably pinched curvature. With potentials satisfying a certain decay rate condition, we give the solvability of the asymptotic Dirichlet problem for the SchrΓΆdin