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Differential game with switching controls on Hilbert space

Published online by Cambridge University Press:  17 February 2009

Siu Pang Yung
Siu Pang Yung
Affiliation:
Department of Mathematics, The University of Hong Kong, Hong Kong
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Abstract

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We study differential game problems in which the players can select different maximal monotone operators for the governing evolution system. Setting up our problem on a real Hilbert space, we show that the Elliott-Kalton upper and lower value of the game are viscosity solution of some Hamilton-Jacobi-Isaacs equations. Uniqueness is obtained by assuming condition analogous to the classical Isaacs condition, and thus the existence of value of the game follows.

Type
Research Article
Information
The ANZIAM Journal , Volume 39 , Issue 2 , October 1997 , pp. 230 - 256
Copyright
Copyright © Australian Mathematical Society 1997

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