A blow-up theorem for a discrete semilinear wave equation

被引：1

作者：

Matsuya, Keisuke ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2013年 / 19卷 / 03期

关键词：

semilinear wave equation; discretization; blow up; difference equation; 39A14; 35B44; 35L71; 39A12; SPACE DIMENSIONS; EXISTENCE;

D O I：

10.1080/10236198.2011.651134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a discretization of a semilinear wave equation whose nonlinear term is a power function is investigated. It is shown that, when a condition on the initial value problem, similar to that governing the existence of blow-up solutions for the original continuous equation is met, the newly introduced difference equation has blow-up solutions with characteristics corresponding to those of the blow-up solutions for the original equation.

引用

页码：457 / 465

页数：9

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