Envelopes and nonconvex Hamilton-Jacobi equations

被引：15
|
作者：
Evans, Lawrence C. [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
DIFFERENTIAL-GAMES; FORMULAS; CONVEXITY; ADJOINT;
D O I：
10.1007/s00526-013-0635-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces a new representation formula for viscosity solutions of nonconvex Hamilton-Jacobi PDE using "generalized envelopes" of affine solutions. We study as well envelope and singular characteristic constructions of equivocal surfaces and discuss also differential game theoretic interpretations. In memory of Arik A. Melikyan.
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页码：257 / 282
页数：26
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