Generalised energy conservation law for wave equations with variable propagation speed

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:358

Article

Hirosawa, Fumihiko¹  Wirth, Jens² 

[1] Yamaguchi Univ, Dept Math, Yamaguchi 7538512, Japan

[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

关键词: A priori estimates;    Wave equations;    Generalised energy conservation law;    Floquet theory;   

DOI  :  10.1016/j.jmaa.2009.04.048

来源: Elsevier

【 摘 要 】

We investigate the long time behaviour of the L-2-energy of solutions to wave equations with variable speed of propagation. The novelty of the approach is the combination of estimates for higher order derivatives of the coefficient with a stabilisation property. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free