Geometric Conditions for Regularity of Viscosity Solution to the Simplest Hamilton-Jacobi Equation - System Modeling and Optimization Access content directly
Conference Papers Year : 2013

Geometric Conditions for Regularity of Viscosity Solution to the Simplest Hamilton-Jacobi Equation

Fátima F. Pereira
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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.
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hal-01347544 , version 1 (21-07-2016)

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Vladimir V. Goncharov, Fátima F. Pereira. Geometric Conditions for Regularity of Viscosity Solution to the Simplest Hamilton-Jacobi Equation. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.245-254, ⟨10.1007/978-3-642-36062-6_25⟩. ⟨hal-01347544⟩
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