Exact boundary controllability for the wave equation with moving boundary domains in a star-shaped hole

Electronic Journal of Differential Equations

article

Ruikson S. O. Nunes¹ 

[1] UFMT- Federal University of Mato Grosso, ICET Department of Mathematics

关键词: Wave equation;    energy decay;    exact boundary controllability;    non-cylindrical domains;    holed domains.;   

DOI  :  10.58997/ejde.2021.49

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

We consider an exact boundary control problem for the wave equation ina moving bounded domain which has a star-shaped hole.The boundary domain is composed by two disjoint parts, one is the boundaryof the hole, which is fixed, and the other one is the external boundarywhich is moving. The initial data has finite energy and the control obtainedis square integrable and is obtained by means of the conormal derivative.We use the method of controllability presented by Russell in [20],and assume that the control acts only in the moving part of the boundary.

【 授权许可】

CC BY