Necessary Weierstrass conditions for elliptic systems (Q1370045)
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: Necessary Weierstrass conditions for elliptic systems |
scientific article; zbMATH DE number 1077534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary Weierstrass conditions for elliptic systems |
scientific article; zbMATH DE number 1077534 |
Statements
Necessary Weierstrass conditions for elliptic systems (English)
0 references
4 November 1997
0 references
The paper discusses the problem of the optimal layout of two materials with given volumes, where the state equation is a linear elliptic system. The author proposes some necessary optimality conditions (without exact proofs) based on variations of the interface between the two materials and needle-like variations defined by means of families of self-similar convex subdomains. The paper contains many misprints and, by reviewer's opinion, the proposed results could be valid only for linear (with respect to the gradient of the state) cost functionals.
0 references
optimal control
0 references
linear elliptic system
0 references
necessary optimality conditions
0 references
