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

نویسندگان

  • Maciej Kocan
  • Pierpaolo Soravia
چکیده

We consider a two-player, zero-sum diierential game governed by an abstract nonlinear diierential equation of accretive type in an innnite 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 Crandall-Lions 12]. We also discuss some properties of this notion of solution.

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تاریخ انتشار 1997