Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space

被引：32

作者：

Fujita, Yasuhiro ^{[1
]}

Ishii, Hitoshi

Loreti, Paola

机构：

[1] Toyama Univ, Dept Math, Toyama 9308555, Japan

[2] Waseda Univ, Sch Educ, Dept Math, Tokyo 1698050, Japan

[3] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat Sci Applica, I-00161 Rome, Italy

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2006年 / 55卷 / 05期

关键词：

Hamilton-Jacobi equations; asymptotic solutions; asymptotic behavior;

D O I：

10.1512/iumj.2006.55.2813

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotic behavior of the viscosity solution of the Cauchy problem for the Hamilton-Jacobi equation ut + alpha x (.) Du + H(Du) = f(x) in R-n X (0, infinity), where alpha is a positive constant and H is a convex function on Rn, and establish a convergence result for the viscosity solution u(x, t) as t -> infinity.

引用

页码：1671 / 1700

页数：30

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