Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
β Scribed by Lemenant, Antoine; Milakis, Emmanouil; Spinolo, Laura V.
- Book ID
- 120066515
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 354 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
## Abstract For certain unbounded domains the Laplace operator with Dirichlet condition is shown to have an unbounded sequence of eigenvalues which are embedded into the essential spectrum. A typical example of such a domain is a locally perturbed cylinder with circular crossβsection whose diameter
## Abstract The Neumann problem for Laplace's equation in a polygonal domain is associated with the exterior Dirichlet problem obtained by requiring the continuity of the potential through the boundary. Then the solution is the simple layer potential of the charge __q__ on the boundary. __q__ is th