Regularity results for the minimum time function of a class of semilinear evolution equations of parabolic type

被引：6
作者：
Albano, P [1 ]
Cannarsa, P [1 ]
Sinestrari, C [1 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 38卷 / 03期
关键词：
time optimal control; semilinear parabolic problem; semiconcavity; optimality conditions;
D O I：
10.1137/S0363012998335176
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Under suitable controllability and smoothness assumptions, the minimum time function T(x) of a semilinear control system is proved to be locally Lipschitz continuous and semiconcave on the controllable set. These properties are then applied to derive optimality conditions relating optimal trajectories to the superdifferential of T.
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页码：916 / 946
页数：31
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