Comparison theorems for viscosity solutions of a system of quasivariational inequalities with application to optimal control with switching costs

Authors
Ball, JA Chudoung, J
Citation
Ja. Ball et J. Chudoung, Comparison theorems for viscosity solutions of a system of quasivariational inequalities with application to optimal control with switching costs, J MATH ANAL, 251(1), 2000, pp. 40-64
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
251
Issue
1
Year of publication
2000
Pages
40 - 64
Database
ISI
SICI code
0022-247X(20001101)251:1<40:CTFVSO>2.0.ZU;2-E
Abstract
In this paper we prove a comparison principle between a viscosity sub- and supersolution for a system of quasivariational inequalities and apply it to show that a continuous lower value vector function of an optimal switching -cost control problem is characterized as the minimal, nonnegative, continu ous, viscosity supersolution of the SQVI. (C) 2000 Academic Press.