Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions

Abstract

Abstract 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

Keywords

• Hyperbolic equation
• Nonlinear boundary conditions
• Phragmén-Lindelöf type theorem
• Asymptotic behavior