Approximate controllability of the coupled degenerate system with two boundary controls

Boundary value problems

Runmei Du¹ 

[1]School of Basic Science, Changchun University of Technology, Changchun, P.R. China

关键词: approximate controllability;    the coupled degenerate system;    boundary control;    93B05;    93C20;    35K65;   

DOI  :  10.1186/s13661-017-0916-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the approximate controllability of the coupled system with boundary degeneracy. The control functions act on the degenerate boundary. We prove the Carleman estimate and the unique continuation of the adjoint system. Then we get the approximate controllability by constructing the control functions.

【 授权许可】

CC BY