Decay estimates of solutions for dissipative wave equations in R~N with lower power nonlinearities

Ryo IKEHATA; Yasuaki MIYAOKA; Takashi NAKATAKE

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Decay estimates of solutions for dissipative wave equations in R~N with lower power nonlinearities

机译：具有较低功率非线性的R〜N中耗散波动方程解的衰减估计

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摘要

Optimal energy decay estimates will be derived for weak solutions to the Cauchy problem in R~N (N = 1, 2, 3) of dissipative wave equations, which have lower power nonlinearities |u|~(p-1) u satisfying 1 + 2/N < p ≤ N/[N - 2]~+.

机译：对于耗散波动方程的R〜N（N = 1，2，3）中的柯西问题的弱解，将获得最优能量衰减估计，其功率非线性| u |〜（p-1）u满足1 + 2 / N ≤N / [N-2]〜+。

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来源
《Journal of the Mathematical Society of Japan》 |2004年第2期|p.365-373|共9页
作者
Ryo IKEHATA; Yasuaki MIYAOKA; Takashi NAKATAKE;
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作者单位

Department of Mathematics Graduate School of Education Hiroshima University Higashi-Hiroshima 739-8524 Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
semilinear wave equation; critical exponent; dissipation; cauchy problem; optimal decay estimates;

机译：半线性波动方程临界指数耗散柯西问题最优衰减估计;

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Decay estimates of solutions for dissipative wave equations in R~N with lower power nonlinearities

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