Decay rate of quasilinear wave equation with viscosity

Autor:	Xin Liu, Shu-xian Deng, Yu-ming Qin
Rok vydání:	2012
Předmět:	Energy inequality Nonlinear system Applied Mathematics Norm (mathematics) Mathematical analysis Wave equation Perturbation method Differential inequalities Mathematical physics Mathematics
Zdroj:	Acta Mathematicae Applicatae Sinica, English Series. 28:591-596
ISSN:	1618-3932 0168-9673
DOI:	10.1007/s10255-012-0172-4
Popis:	This paper is concerned with the decay rate of solutions for a quasilinear wave equation with viscosity. We use a so-called energy perturbation method to establish decay rate of solutions in terms of energy norm for a class of nonlinear functions. With the help of a comparison lemma of differential inequalities, we establish a relationship between decay rate of solutions and f.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e404af35b5838604c2c31fee0e8b0597 https://doi.org/10.1007/s10255-012-0172-4 Zobrazit plný text záznamu Full text from SpringerLink