A nonlinear transmission problem with time dependent coefficients
Lapa, Eugenio Cabanillas
Munoz Rivera, Jaime E.
Texas State University-San Marcos, Department of Mathematics
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.
Transmission problem, Time dependent coefficients, Stability
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.