\(L^{\infty}\)-error analysis for parabolic quasi-variational inequalities related to impulse control problems (Q1705393)
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: \(L^{\infty}\)-error analysis for parabolic quasi-variational inequalities related to impulse control problems |
scientific article; zbMATH DE number 6850614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^{\infty}\)-error analysis for parabolic quasi-variational inequalities related to impulse control problems |
scientific article; zbMATH DE number 6850614 |
Statements
\(L^{\infty}\)-error analysis for parabolic quasi-variational inequalities related to impulse control problems (English)
0 references
15 March 2018
0 references
The article is devoted to Parabolic Quasi-Variational Inequalities (PQVI) related to impulse control problems. Some qualitative properties of PQVI such as existence and uniqueness, monotonicity and Lipschitz dependence with respect to the right-hand side are studied. The discrete scheme by using a piecewise linear finite element method is proposed. Using the concept of subsolution an \(L^\infty\)-estimate of the approximations is derived. Finally, the result concerning asymptotic behavior in \(L^\infty\)-norm for PQVI is obtained.
0 references
parabolic quasi-variational inequality
0 references
impulse control problem
0 references
finite element methods
0 references
subsolutions method
0 references
\(L^{\infty}\)-asymptotic behavior
0 references
0 references
0 references
0 references
