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

Boundary value problems

Amir Peyravi¹  Faramarz Tahamtani¹ 

[1] Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran

关键词: Hyperbolic equation;    Nonlinear boundary conditions;    Phragmén-Lindelöf type theorem;    Asymptotic behavior;   

DOI  :  10.1186/1687-2770-2011-19

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY