A new proof of indefinite propagation of singularities for a Hamilton-Jacobi equation

被引：1

作者：

Stromberg, Thomas ^{[1
]}

机构：

[1] Lulea Univ Technol, Dept Engn Sci & Math, S-97187 Lulea, Sweden

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2016年 / 16卷 / 04期

关键词：

Hamilton-Jacobi equation; Generalized characteristic; Propagation of singularities; PARTIAL-DIFFERENTIAL-EQUATIONS; BROKEN CHARACTERISTICS;

D O I：

10.1007/s00028-016-0324-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study propagation of singularities for the Hamilton-Jacobi equation where is a positive definite quadratic form. Each viscosity solution is semiconcave, and it is known that its singularities move along generalized characteristics. We give a new proof of the recent result by Cannarsa et al. (Discrete Contin Dyn Syst 35:4225-4239, 2015), namely that the singularities propagate along generalized characteristics indefinitely forward in time.

引用

页码：895 / 903

页数：9

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