MISC

2003年9月

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

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • H Uesaka

54
7
開始ページ
1271
終了ページ
1283
記述言語
英語
掲載種別
DOI
10.1016/S0362-546X(03)00159-7
出版者・発行元
PERGAMON-ELSEVIER SCIENCE LTD

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.

リンク情報
DOI
https://doi.org/10.1016/S0362-546X(03)00159-7
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000184583800005&DestApp=WOS_CPL
ID情報
  • DOI : 10.1016/S0362-546X(03)00159-7
  • ISSN : 0362-546X
  • Web of Science ID : WOS:000184583800005

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