Observability inequality and decay rate for wave equations with nonlinear boundary conditions

Autor: Yuan Gao, Jin Liang, Ti-Jun Xiao
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2017, Iss 161,, Pp 1-12 (2017)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We study a class of wave propagation problems concerning the nonlinearity of dynamic evolution for boundary material. We establish an observability inequality for the related linear system, and make a connection between the linear system and the original nonlinear coupled system. Also, we obtain the desired energy decay rate for the original nonlinear boundary value problem.
Databáze: Directory of Open Access Journals