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Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation

The first objective of this paper is to prove the existence and uniqueness of global solutions for a Kirchhoff-type wave equation with nonlinear dissipation of the form Ku′′ + M(|A (1/2) u|(2))Au + g(u′) = 0 under suitable assumptions on K, A, M(·), and g(·). Next, we derive decay estimates of the e...

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Detalles Bibliográficos
Autores principales: Kim, Daewook, Kim, Dojin, Hong, Keum-Shik, Jung, Il Hyo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3996994/
https://www.ncbi.nlm.nih.gov/pubmed/24977217
http://dx.doi.org/10.1155/2014/716740