A pointwise oscillation property of semilinear wave equations with time-dependent coefficients

被引：3

作者：

Uesaka, H ^{[1
]}

机构：

[1] Nihon Univ, Coll Sci & Technol, Dept Math, Tokyo 101, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 54卷 / 07期

关键词：

oscillation; zeros of solutions of semilinear wave equations;

D O I：

10.1016/S0362-546X(03)00159-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We shall consider a one-dimensional semilinear wave equation in a finite interval (0, l) in R. A usual homogeneous boundary condition is imposed on it at x = 0, l. We shall show that the solution u(x, t) oscillates on the time t in the following sense. Let x be any fixed in (0, l), then u(x, t) changes its sign infinitely many times as t is passing. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1271 / 1283

页数：13

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