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Invariant Solutions of Differential Games and Hamilton-Jacobi-Isaacs Equations for Time-Measurable Hamiltonians

Cardaliaguet, Pierre; Plaskacz, Slawomir (2000), Invariant Solutions of Differential Games and Hamilton-Jacobi-Isaacs Equations for Time-Measurable Hamiltonians, SIAM Journal on Control and Optimization, 38, 5, p. 1501-1520. http://dx.doi.org/10.1137/S0363012998296219

Type
Article accepté pour publication ou publié
Date
2000
Journal name
SIAM Journal on Control and Optimization
Volume
38
Number
5
Publisher
SIAM
Pages
1501-1520
Publication identifier
http://dx.doi.org/10.1137/S0363012998296219
Metadata
Show full item record
Author(s)
Cardaliaguet, Pierre
Plaskacz, Slawomir
Abstract (EN)
We characterize invariance of time-varying domains with respect to differential games with time-measurable dynamics. We deduce from this result a new definition of viscosity solutions to some first order Hamilton-Jacobi equations with time-measurable Hamiltonians.
Subjects / Keywords
differential games; Hamilton-Jacobi-Isaacs equation; viscosity solutions; time-measurable Hamiltonians

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