A nonlinear transmission problem with time dependent coefficients
Date
2007-10-09
Authors
Lapa, Eugenio Cabanillas
Munoz Rivera, Jaime E.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Transmission problem, Time dependent coefficients, Stability
Citation
Lapa, E. C., & Muñoz Rivera, J. E. (2007). A nonlinear transmission problem with time dependent coefficients. <i>Electronic Journal of Differential Equations, 2007</i>(131), pp. 1-13.
Rights
Attribution 4.0 International