Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain

DOI10.3934/MATH.2017.1.1zbMath1428.35203arXiv1609.01063OpenAlexW3099402211MaRDI QIDQ2335193

Yuta Wakasugi, Motohiro Sobajima

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01063

zbMATH Keywords

damped wave equationdiffusion phenomena

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (6)

Asymptotic expansion of solutions to the wave equation with space-dependent damping ⋮ Asymptotic behavior for wave equations with space-dependent damping in a weighted energy class ⋮ Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Critical exponent for the semilinear wave equations with a damping increasing in the far field ⋮ Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations ⋮ Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data

Cites Work

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• Mixed problems for hyperbolic equations of second order
• Decay estimates for wave equations with variable coefficients
• On diffusion phenomena for the linear wave equation with space-dependent damping
• Critical exponent for a nonlinear wave equation with damping

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