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Geometric Conditions for Regularity of Viscosity Solution to the Simplest Hamilton-Jacobi Equation
Abstract : Continuing research in [13] and [14] on well-posedness of the optimal time control problem with a constant convex dynamics in a Hilbert space we adapt one of the regularity conditions obtained there to a slightly more general problem, where nonaffine additive term appears. We prove existence and uniqueness of a minimizer in this problem as well as continuous differentiability of the value function, which can be seen as the viscosity solution to a Hamilton-Jacobi equation, near the boundary.
Cited literature [16 references]
https://hal.inria.fr/hal-01347544
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Submitted on : Thursday, July 21, 2016 - 11:20:19 AM
Last modification on : Thursday, July 21, 2016 - 11:48:12 AM
Contributor : Hal Ifip Connect in order to contact the contributor
Submitted on : Thursday, July 21, 2016 - 11:20:19 AM
Last modification on : Thursday, July 21, 2016 - 11:48:12 AM
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