Global existence and stability of the wave equation with boundary variable damping
Sign Up to like & getrecommendations! Published in 2024 at "Mathematische Nachrichten"
DOI: 10.1002/mana.202300003
Abstract: In this paper, we present the result of global existence of solution for the wave equation with boundary variable damping term. Then, we prove that this global solution is stable. Our study is based on… read more here.
Keywords: variable damping; wave equation; global existence; equation boundary ... See more keywords
Viscoelastic plate equation with boundary feedback
Sign Up to like & getrecommendations! Published in 2017 at "Evolution Equations and Control Theory"
DOI: 10.3934/eect.2017014
Abstract: In this paper we consider a viscoelastic plate equation with a nonlinear weakly dissipative feedback localized on a part of the boundary. Without imposing restrictive assumptions on the boundary frictional damping, we establish an explicit… read more here.
Keywords: equation boundary; viscoelastic plate; feedback; plate equation ... See more keywords