Optimal control and domain identification for hemivariational inequalities (Q2784723)
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: Optimal control and domain identification for hemivariational inequalities |
scientific article; zbMATH DE number 1732948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal control and domain identification for hemivariational inequalities |
scientific article; zbMATH DE number 1732948 |
Statements
8 July 2003
0 references
optimal control problem
0 references
hemivariational inequality
0 references
elliptic problem
0 references
parabolic problem
0 references
optimal shape design
0 references
0.9375298
0 references
0.9302948
0 references
0.92803997
0 references
Optimal control and domain identification for hemivariational inequalities (English)
0 references
The paper contains two optimal control problems. First one is an optimal control problem for systems governed by a parabolic hemivariational inequality. The cost functional is of Bolza type and the control constraints are time dependent. NEWLINENEWLINENEWLINEThe second one is an optimal shape design problem for systems governed by an elliptic hemivariational inequality. The role of controls is played by a class of admissible domains in \(\mathbb{R}^N\), satisfying the cone property. The result extends the one by \textit{D. Chenais} [``On the existence of a solution in a domain identification problem'', J. Math. Anal. Appl. 52, 189-219 (1975; Zbl 0317.49005)].NEWLINENEWLINEFor the entire collection see [Zbl 0971.00016].
0 references
