Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
Department of Mathematics, College of Sciences, Shiraz University, Shiraz, 71454, Iran
Boundary Value Problems 2011, 2011:19 doi:10.1186/1687-2770-2011-19Published: 30 August 2011
This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder. The main tool used is the weighted energy method.
Mathematics Subject Classification (2010) 35B40, 35L05, 35L35