A note on the IBVP for wave equations with dynamic boundary conditions

Boundary value problems

Ti-Jun Xiao¹  Chan Li¹ 

[1] Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, P.R. China

关键词: Wentzell boundary condition;    wave equation;    wellposedness;    controllability;   

DOI  :  10.1186/s13661-016-0549-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the controllability on the IBVP for a class of wave equations with dynamic boundary conditions by the HUM method as well as the wellposedness for the related back-ward problems. After proving a new observability inequality, we establish new wellposedness and controllability theorems for the IBVP.

【 授权许可】

CC BY