Controllability for the wave equation with moving boundary

Electronic Journal of Differential Equations

article

Isaías P. de Jesus¹  Eugenio Cabanillas Lapa²  Juan Limaco³ 

[1] Universidade Federal do Piauí;Universidad Nacional Mayor de San Marcos Facultad de Ciencias Matem\áticas Instituto de Investigación;Universidade Federal Fluminense IME

关键词: Wave equation;    Stackelberg-Nash strategies;    controllability;    inverse inequality.Show me the PDF file (336 KB);    TEX file for this article.;   

DOI  :  10.58997/ejde.2021.60

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

In this article, we study the boundary controllability for a one-dimensional stringequation on a domain with time-dependent boundary. This equation models small vibrationsof a string with one of its endpoint fixed and other moving with speed k(t).We use an inverse inequality to obtain a controllability result. We consider a linearwave equation.

【 授权许可】

CC BY