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.

引用

页码：684 / 687

页数：4

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