LP convergence rates of solutions for n-dimensional quasilinear damped wave equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Geng, Shifeng^1,2  Wang, Zhen² 

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

关键词: Quasilinear wave equation;    Linear damping;    Asymptotic behavior;    Convergence rates;   

DOI  :  10.1016/j.jmaa.2013.10.042

来源: Elsevier

【 摘 要 】

We realize the asymptotic profile for the solutions to the n-dimensional quasilinear damped wave equation in the divergence form is the solution of the corresponding linear parabolic equation with special initial data, and we further show the Lp (1 <= p <= infinity) (in particular, p = 1) convergence rates to this linear asymptotic profile. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free