Well-posedness and uniform decay rates for the Klein-gordon equation with damping term and acoustic boundary conditions

Jong Yeoul Park; Tae Gab Ha

doi:10.1063/1.3040185

Well-posedness and uniform decay rates for the Klein-gordon equation with damping term and acoustic boundary conditions

Jong Yeoul Park
, Tae Gab Ha

Department of Mathematics

Pusan National University

Research output: Contribution to journal › Journal article › peer-review

65 Scopus citations

Abstract

In this paper, we consider the Klein-Gordon equation u″ +-αΔu+Β u′ p u′ +γ|u|^qu=0 with damping term and acoustic boundary conditions. This work is devoted to prove the existence of global solutions and uniform decay rates of solutions of the Klein-Gordon equation with damping term and acoustic boundary conditions.

Original language	English
Article number	013506
Journal	Journal of Mathematical Physics
Volume	50
Issue number	1
DOIs	https://doi.org/10.1063/1.3040185
State	Published - 2009

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10.1063/1.3040185

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title = "Well-posedness and uniform decay rates for the Klein-gordon equation with damping term and acoustic boundary conditions",

abstract = "In this paper, we consider the Klein-Gordon equation u″ +-αΔu+Β u′ p u′ +γ|u|qu=0 with damping term and acoustic boundary conditions. This work is devoted to prove the existence of global solutions and uniform decay rates of solutions of the Klein-Gordon equation with damping term and acoustic boundary conditions.",

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AU - Ha, Tae Gab

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AB - In this paper, we consider the Klein-Gordon equation u″ +-αΔu+Β u′ p u′ +γ|u|qu=0 with damping term and acoustic boundary conditions. This work is devoted to prove the existence of global solutions and uniform decay rates of solutions of the Klein-Gordon equation with damping term and acoustic boundary conditions.

UR - https://www.scopus.com/pages/publications/59349108826

U2 - 10.1063/1.3040185

DO - 10.1063/1.3040185

M3 - Journal article

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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M1 - 013506

ER -

Well-posedness and uniform decay rates for the Klein-gordon equation with damping term and acoustic boundary conditions

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