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VOL. 64 | 2015 On the decay property of solutions to the Cauchy problem of the semilinear beam equation with weak damping for large initial data
Hiroshi Takeda, Shuji Yoshikawa

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

This paper is devoted to the study of the initial value problem for some semilinear damped beam equation which has a non-negative definite energy functional. We prove a uniform bound and decay estimates of a solution for the equation with large initial data using the method introduced by Kawashima–Nakao–Ono [3].

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1342.35047
MathSciNet: MR3381318

Digital Object Identifier: 10.2969/aspm/06410507

Subjects:
Primary: 35B65, 35E05, 35G10, 35G25

Rights: Copyright © 2015 Mathematical Society of Japan

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