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Comparison Theorems for Viscosity Solutions of a System of Quasivariational Inequalities with Application to Optimal Control with Switching Costs

✍ Scribed by Joseph A Ball; Jerawan Chudoung


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
172 KB
Volume
251
Category
Article
ISSN
0022-247X

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✦ Synopsis


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, continuous, viscosity supersolution of the SQVI.