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Nonlinear equations with essentially infinite-dimensional differential operators

✍ Scribed by Yu. V. Bohdans’kyi; V. M. Statkevych


Publisher
Springer
Year
2011
Tongue
English
Weight
85 KB
Volume
62
Category
Article
ISSN
0041-5995

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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 s