Decay estimates for wave equations with variable coefficients

DOI10.1090/S0002-9947-09-04742-4zbMath1194.35065MaRDI QIDQ3559021

Petronela Radu, Grozdena Todorova, Borislav Yordanov

Publication date: 11 May 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

multiplier methodlinear dissipationdecay subsolution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

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Cites Work

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• Wave equations with time-dependent dissipation. I: Non-effective dissipation
• Wave equations with time-dependent dissipation. II: Effective dissipation
• Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients
• Local energy decay for linear wave equations with variable coefficients
• \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
• Nonlinear internal damping of wave equations with variable coefficients
• The decay of solutions of the exterior initial-boundary value problem for the wave equation
• Solution representations for a wave equation with weak dissipation
• Lp - Lq Decay Estimates for Wave Equations with Time-Dependent Coefficients
• On the diffusion phenomenon of quasilinear hyperbolic waves

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