Global actions of Lie symmetries for the nonlinear heat equation

被引：4

作者：

Sepanski, Mark R. ^{[1
]}

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 360卷 / 01期

关键词：

Lie symmetry; Nonlinear heat equation; Global action; PARTIAL-DIFFERENTIAL-EQUATIONS; REPRESENTATION-THEORY;

D O I：

10.1016/j.jmaa.2009.06.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By restricting to a natural class of functions, we show that the Lie point symmetries of the nonlinear heat equation exponentiate to a global action of the corresponding Lie group. Remarkably, in most of the cases, the action turns out to be linear. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：35 / 46

页数：12

共 21 条

[1]

Bluman G.W., 1989, Symmetries and differential equations

[2]

Bluman G. W., 1974, Appl. Math. Sci., V13

[3] All solutions of standard symmetric linear partial differential equations have classical Lie symmetry [J].