Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic equations (Q1343050)
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: Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic equations |
scientific article; zbMATH DE number 716203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic equations |
scientific article; zbMATH DE number 716203 |
Statements
Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic equations (English)
0 references
18 July 1995
0 references
The authors consider an optimal control problem governed by a quasilinear operator of elliptic type. They derive an optimality system of Pontryagin's type. The result is important in several aspects: there is no stability condition (except of course for the qualified version of the result), the operator is quite general, and the proof combines ideas of renormalization, a general lemma about approximation with functions of ``small'' support, and Ekeland's principle.
0 references
Pontryagin's principle
0 references
quasilinear elliptic equations
0 references
optimality system
0 references
stability
0 references
Ekeland's principle
0 references
