Energy decay estimates for a wave equation with nonlinear boundary feedback

Autor:	Mohammad Cherkaoui, Naji Yebari
Rok vydání:	2008
Předmět:	Nonlinear system General Mathematics Mathematical analysis One-dimensional space Dissipative system Boundary (topology) Nonlinear boundary Uniqueness Exponential decay Energy (signal processing) Mathematics
Zdroj:	Glasnik Matematicki. 43:375-386
ISSN:	0017-095X
DOI:	10.3336/gm.43.2.10
Popis:	We study a wave equation in one dimensional space with nonlinear dissipative boundary feedback at both ends. We prove existence and uniqueness of solution, strong and uniform exponential decay of energy under some conditions in the nonlinear feedback. Decay rate estimates of the energy are given under weak growth assumptions on the feedback functions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1d8a80240f80420ca8dfa30650942181 https://doi.org/10.3336/gm.43.2.10 Zobrazit plný text záznamu