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- Title
On a shape design problem for one spectral functional.
- Authors
Gasimov, Yusif S.
- Abstract
In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for the optimal shape is obtained. Evident formulas are given for the eigenvalues in the optimal domain for some particular cases.
- Subjects
STRUCTURAL optimization; FUNCTIONAL analysis; EIGENVALUES; ELLIPTIC operators; MATHEMATICAL formulas; MATHEMATICAL domains; ANALYSIS of variance
- Publication
Journal of Inverse & Ill-Posed Problems, 2013, Vol 21, Issue 5, p629
- ISSN
0928-0219
- Publication type
Article
- DOI
10.1515/jip-2012-0001