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Abstract: We obtain the uniqueness of lower semicontinuous (lsc for short) viscosity solutions of the transformed minimum time problem assuming that they converge to zero on a "reachable" part of the target in appropriate directions. We present a counter-example which shows that the uniqueness does not hold without this convergence assumption. It was shown by Soravia that the uniqueness of lsc viscosity solutions having a "subsolution property" on the target holds. In order to verify this subsolution... (Update)
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BibTeX entry: (Update)
@article{ alvarez00uniqueness,
author = "Olivier Alvarez and Shigeaki Koike and Isao Nakayama",
title = "Uniqueness of Lower Semicontinuous Viscosity Solutions for the Minimum Time Problem",
journal = "SIAM Journal on Control and Optimization",
volume = "38",
number = "2",
pages = "470--481",
year = "2000",
url = "citeseer.ist.psu.edu/306188.html" }
Citations (may not include all citations):103 Optimal Control and Viscosity Solutions of Hamilton-Jacobi-B.. (context) - Bardi, Dolcetta - 1996
28 Optimality principles and representation formulas for viscos.. (context) - Soravia
17 Optimal control of diffusion processes and Hamilton-Jacobi-B.. (context) - Lions - 1983
16 An approximation scheme for the minimum time function (context) - Bardi, Falcone - 1990
13 Semicontinuous viscosity solutions of Hamilton-Jacobi equati.. (context) - Barron, Jensen - 1990
12 Hamilton-Jacobi equations with singular boundary conditions .. (context) - Bardi, Soravia - 1991
7 Discontinuous viscosity solutions to Dirichlet problems for .. (context) - Soravia - 1993
6 Discontinuous viscosity solutions of first-order Hamilton-Ja.. (context) - Barles - 1993
6 Lower semicontinuous solutions of Hamilton-Jacobi equations (context) - Frankowska - 1993
5 The Hamilton-Jacobi-Bellman equation for time-optimal contro.. (context) - Evans, James - 1989
4 Optimal control and semicontinuous viscosity solutions (context) - Barron, Jensen - 1991
3 A boundary value problem for the minimum time function (context) - Bardi - 1989
3 Proximal analysis and the minimal time function (context) - Wolenski, Zhuang
2 Semicontinuous viscosity solutions for HamiltonJacobi equati.. (context) - Koike - 1997
1 Lower semicontinuous solutions for a class of Hamilton-Jacob.. (context) - arj - 1996
1 Lower semicontinuous solutions of the Bellman equations for .. (context) - arj, Mignanego et al. - 1995
1 The Bellman equation for timeoptimal control of noncontrolla.. (context) - Bardi, Staicu - 1993
1 Differential games and nonlinear first order PDE on bounded .. (context) - Evans, Ishii - 1984
1 Semicontinuous and continuous blowup and minimal time functi.. (context) - Barron, Liu
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