✦ LIBER ✦

On Differential Games for Infinite-Dimensional Systems with Nonlinear, Unbounded Operators

✍ Scribed by Maciej Kocan; Pierpaolo Soravia; Andrzej Swiech

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 319 KB
Volume: 211
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5475

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✦ Synopsis

We consider a two-player, zero-sum differential game governed by an abstract nonlinear differential equation of accretive type in an infinite-dimensional space. We prove that the value function of the game is the unique viscosity solution of the corresponding Hamilton᎐Jacobi᎐Isaacs equation in the sense of M. G. Crandall Ž and P. L. Lions ''Evolution Equations, Control Theory and Biomathematics,'' .

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