Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle (Q703901)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle |
scientific article; zbMATH DE number 2126915
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle |
scientific article; zbMATH DE number 2126915 |
Statements
Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle (English)
0 references
12 January 2005
0 references
Spectral properties of the operator \(L\) generated by the differential expression \(-\Delta-\alpha\text{grad div}\), \(\alpha >0\) on exterior domains \(\Omega\subset \mathbb R^n, \) \(n=2,3\) and Dirichlet boundary conditions are investigated. The obtained results allow to resolve the problems for the equation of equilibrium for esotheric bodies in terms of expansions on generalized eigenfunctions.
0 references
operator of elasticity theory
0 references
generalized eigenfunction expansion
0 references
0 references
0 references
