A nonlinear transmission problem with time dependent coefficients

Autor: Jaime E. Munoz Rivera, Eugenio Cabanillas Lapa
Jazyk: angličtina
Rok vydání: 2007
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2007, Iss 131, Pp 1-13 (2007)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article, we consider a nonlinear transmission problem for the wave equation with time dependent coefficients and linear internal damping. We prove the existence of a global solution and its exponential decay. The result is achieved by using the multiplier technique and suitable unique continuation theorem for the wave equation.
Databáze: Directory of Open Access Journals