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Differential games for stochastic partial differential equations

Published online by Cambridge University Press:  22 January 2016

W.H. Fleming  and
M. Nisio
W.H. Fleming
Affiliation:
Division of Applied Mathematics Brown University, Providence R. I,. 02912, USA
M. Nisio
Affiliation:
Department of Mathematics Kobe University, Rokko, Kobe 657, Japan, Department of Mathematics Osaka Electro-Communication University, Hatsue ho, Neyagawa 572, Japan
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In this paper we are concerned with zero-sum two-player finite horizon games for stochastic partial differential equations (SPDE in short). The main aim is to formulate the principle of dynamic programming for the upper (or lower) value function and investigate the relationship between upper (or lower) value function and viscocity solution of min-max (or max-min) equation on Hilbert space.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 131 , September 1993 , pp. 75 - 107
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

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