Homogeneous solutions of the dirichlet problem for an anisotropic layer
β Scribed by L.A Fil'shtinskii
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 302 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0021-8928
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β¦ Synopsis
A complete system of homogeneous solutions of the Dirichlet problem for an anisotropic layer is constructed. These solutions represent series containing metaharmonic functions of a complex argument which depends on all three coordinates. The solution obtained can be used when considering boundary-value problems of potential theory for a piecewise-homogeneous layer.
π SIMILAR VOLUMES
## Abstract For an arbitrary differential operator __P__ of order __p__ on an open set __X__ β R^n^, the Laplacian is defined by Ξ = __P__\*__P__. It is an elliptic differential operator of order __2p__ provided the symbol mapping of __P__ is injective. Let __O__ be a relatively compact domain in _
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