Decay of solutions to the Cauchy problem for the Klein-Gordon equation with a localized nonlinear dissipation

DOI10.14492/HOKMJ/1351001285zbMath0909.35024OpenAlexW2049360683MaRDI QIDQ1265199

Mitsuhiro Nakao

Publication date: 8 April 1999

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1351001285

zbMATH Keywords

nonlinear dissipation vanishing in a neighbourhood of the origin

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (7)

Existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity ⋮ Energy decay rates for solutions of the wave equation with linear damping in exterior domain ⋮ Total energy decay for the wave equation in exterior domains with a dissipation near infinity ⋮ Energy decay for wave equations with a potential and a localized damping ⋮ Energy decay for a nonlinear generalized Klein-Gordon equation in exterior domains with a nonlinear localized dissipative term ⋮ Decay of solutions of the wave equation with some localized dissipations ⋮ Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain

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