The stability and rapid exponential stabilization of heat equation in non-cylindrical domain

2017/12/18 by Lingfei Li, Li, Lingfei, Yujing Tang +3
Computer Science · Engineering · Mathematics · #35 #93 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #math.OC #msc:35 #msc:93

paper · pdf · doi:10.48550/arxiv.1712.06319

21 pages, 2 figures

arxiv created 2017/12/18 · openalex publication_date 2017/12/18 · arxiv updated 2017/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the study of the stability and stabilizability of heat equation in non-cylindrical domain. The interesting thing is that there is a class of initial values such that the system is no longer exponentially stable. The system is only polynomially stable or only analogously exponentially stable. Then, the rapid exponential stabilization of the system is obtained by the backstepping method.

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