Diffusion phenomenon for second order linear evolution equations

被引：48

作者：

Ikehata, R ^{[1
]}

Nishihara, K

机构：

[1] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan

[2] Waseda Univ, Sch Polit Sci & Econ, Tokyo 1698050, Japan

来源：

STUDIA MATHEMATICA | 2003年 / 158卷 / 02期

关键词：

dissipative wave equations; heat equations; asymptotic profile; optimum decay rate;

D O I：

10.4064/sm158-2-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hilbert space. To derive the diffusion phenomenon, a new device developed in Ikehata-Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.

引用

页码：153 / 161

页数：9

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