THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
DOI:
https://doi.org/10.15381/pes.v9i1.9393Keywords:
Transmission problem, wave equation, global existence.Abstract
In this paper we consider the nonlinear transmission problem for the wave equation with time dependent coefficients and linear internal damping. We prove global existence and exponential decay of solution. The result is achieved by considering energy like - Lyapunov functionals and suitable unique continuation theorem for the wave equation.Downloads
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Copyright (c) 2006 Jaime Edilberto Muñoz Rivera, Eugenio Cabanillas Lapa, Juan Benito Bernui Barros
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