Semi-concave singularities and the Hamilton-Jacobi equation

被引：0
作者：
Patrick Bernard
机构：
[1] Université Paris-Dauphine — CEREMADE (UMR 7534),
[2] École normale supérieure — Paris,undefined
来源：
Regular and Chaotic Dynamics | 2013年 / 18卷
关键词：
Hamilton-Jacobi equations; viscosity solutions; variational solutions; calculus of variations; 49L25; 37J05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the Cauchy problem for the Hamilton-Jacobi equation with a semiconcave initial condition. We prove an inequality between two types of weak solutions emanating from such an initial condition (the variational and the viscosity solution).We also give conditions for an explicit semi-concave function to be a viscosity solution. These conditions generalize the entropy inequality characterizing piecewise smooth solutions of scalar conservation laws in dimension one.
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页码：674 / 685
页数：11
相关论文
共 9 条
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