Spectral theory for symmetric systems in an exterior domain, II
β Scribed by Hirokazu Iwashita
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 897 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
## Abstract We introduce a new concept for weak solutions in __L__^__q__^βspaces, 1 < __q__ < β, of the Stokes system in an exterior domain Ξ© β β^n^, __n__ β©Ύ 2. Defining the variational formulation in the homogeneous Sobolev space \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop H\
## Abstract We consider the Stokes system with resolvent parameter in an exterior domain: equation image under Dirichlet boundary conditions. Here Ξ© is a bounded domain with __C__^2^ boundary, and [λϡβ\] β [β, 0], Ξ½ >0. Using the method of integral equations, we are able to construct solutions (u,
## Abstract We study spectral properties of boundary integral operators which naturally arise in the study of the Maxwell system of equations in a Lipschitz domain Ξ© β β^3^. By employing Rellichβtype identities we show that the spectrum of the magnetic dipole boundary integral operator (composed wi