Author(s): Goncharov, Vladimir ; Pereira, Fátima
Date: 2014
Persistent ID: http://hdl.handle.net/10174/9667
Origin: Repositório Científico da Universidade de Évora
Subject(s): time-minimum problem; viscosity solution; eikonal equation; duality mapping; proximal normals; proximal regularity; Hölder continuity
Continuing research GP1, GP2 on the well-posedness of the time-minimum 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 (it can be seen as the viscosity solution to a Hamilton-Jacobi equation) near the boundary of the domain
