Differential games with Lipschitz control functions and applications to games with partial differential equations
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- by Emmanuel Nicholas Barron PDF
- Trans. Amer. Math. Soc. 219 (1976), 39-76 Request permission
Abstract:
In §1 we formulate a differential game when the dynamics is the inhomogeneous heat equation. In §2 we state the basic theory of differential games when the controls must choose uniformly Lipschitz control functions. We then prove some general theorems for the case when the controls may choose any measurable control functions. These theorems hold for games with any dynamics. In §3 we apply our theory developed to our particular example and in §4 we prove the existence of value for games with partial differential equations.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 219 (1976), 39-76
- MSC: Primary 93C20; Secondary 90D25
- DOI: https://doi.org/10.1090/S0002-9947-1976-0419010-4
- MathSciNet review: 0419010