Propagation of singularities for solutions of Hamilton-Jacobi equations

被引：10
|
作者：
Albano, P. [1 ]
机构：
[1] Univ Bologna, Dipartimento Matemat, I-40127 Bologna, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 411卷 / 02期
关键词：
Hamilton-Jacobi equations; Viscosity solutions; Singular support; Generalized characteristics;
D O I：
10.1016/j.jmaa.2013.10.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the viscosity solution of the Cauchy problem for a class of Hamilton-Jacobi equations and we show that the points of the C-1 singular support of such a function propagate along the generalized characteristics for all the times. (C) 2013 Elsevier Inc. All rights reserved.
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页码：684 / 687
页数：4
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