Global existence and energy decay of small solutions to the Kirchhoff equation with linear dissipation localized near infinity

DOI10.1215/KJM/1250517917zbMath0954.35113OpenAlexW1550546839MaRDI QIDQ1970354

Kiyoshi Mochizuki

Publication date: 1 February 2001

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250517917

zbMATH Keywords

small initial dataweighted energy inequalities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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 (3)

Energy decay for wave equations with a potential and a localized damping ⋮ On the asymptotic behavior of the energy for the wave equations with time depending coefficients ⋮ Decay of solutions of the wave equation with some localized dissipations

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