Publicação: Existence, uniqueness and exponential decay of solutions to kirchhoff equation in ℝn
Carregando...
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Artigo
Direito de acesso
Resumo
We discuss the global well-posedness and uniform exponential stability for the Kirchhoff equation in ℝn (Formula presented) The global solvability is proved when the initial data are taken small enough and the exponential decay of the energy is obtained in the strong topology H2(ℝn) × H1(ℝn), which is a different feature of the present article when compared with the prior literature. We also dedicate a section to discuss a model with the frictional damping term λut, is replaced by a viscoelastic damping term ∫t 0 g(t-s)Δu(s)ds.
Descrição
Palavras-chave
Existence and uniqueness of solution, Exponential decay, Frictional damping, Kirchhoff equation, Uniform stability, Viscoelastic damping
Idioma
Inglês
Como citar
Electronic Journal of Differential Equations, v. 2016.
