Lp-Lq decay estimates of solutions to Cauchy problems of thermoviscoelastic systems

被引：0

作者：

YANG Lin1 HUANG Li-hong1 KUANG Feng-lian21 College of Mathematics

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities | 2009年 / 04期

基金：

中国国家自然科学基金;

关键词：

Lp-Lq decay estimate; Cauchy problem; thermoviscoelastic system;

D O I：

暂无

中图分类号：

O411 [物理学的数学方法];

学科分类号：

0701 ;

摘要：

Lp-Lq decay estimate of solution to Cauchy problem of a linear thermoviscoelastic system is studied.By using a diagonalization argument of frequency analysis,the coupled system will be decoupled micrologically.Then with the help of the information of characteristic roots for the coefficient matrix of the system,Lp-Lq decay estimate of parabolic type of solution to the Cauchy problem is obtained.

引用

页码：473 / 482

页数：10

共 3 条

[1] Well-posedness and decay estimates for Cauchy problems of linear thermoelastic systems of type III in 3-D
Yang, Lin
Wang, Ya-Guang
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2006, 55 (04) : 1333 - 1361
[2] Parabolic Type Decay Rates for 1-D-Thermoelastic Systems with Time-Dependent Coefficients[J] . Ya-Guang Wang,Michael Reissig.Monatshefte für Mathematik . 2003 (3)
[3] Global existence and formation of singularities in thermoviscoelasticity of integral type[J] . Song Jiang,Jaime E. Munoz Rivera.Applicable Analysis . 2001 (3-4)

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