A counterexample to uniqueness of generalized characteristics in Hamilton-Jacobi theory

被引：4
|
作者：
Stromberg, Thomas [1 ]
机构：
[1] Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 07期
关键词：
Hamilton-Jacobi equation; Generalized characteristic; Propagation of singularities; EQUATIONS; SINGULARITIES;
D O I：
10.1016/j.na.2010.12.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of generalized characteristics plays a pivotal role in the study of propagation of singularities for Hamilton-Jacobi equations. This note gives an example of nonuniqueness of forward generalized characteristics emanating from a given point. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：2758 / 2762
页数：5
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