L1 Decay estimates for dissipative wave equations

DOI10.1002/mma.222zbMath1001.35016OpenAlexW2059703500MaRDI QIDQ2725353

Han Yang, Albert J. Milani

Publication date: 9 April 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.222

zbMATH Keywords

Fourier multipliersdiffusion phenomenon

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (11)

\(L^1\) estimates for dissipative wave equations in exterior domains ⋮ ASYMPTOTICALLY SELF-SIMILAR GLOBAL SOLUTIONS OF A DAMPED WAVE EQUATION ⋮ Decay estimates for dissipative wave equations in exterior domains ⋮ \(L^p\) convergence rates of solutions for \(n\)-dimensional quasilinear damped wave equation ⋮ On \(L^1\) estimates for solutions of dissipative wave equations ⋮ Energy decay estimates for the dissipative wave equation with space-time dependent potential ⋮ Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients ⋮ \(L^p\) decay problem for the dissipative wave equation in odd dimensions ⋮ Diffusion phenomena for partially dissipative hyperbolic systems ⋮ Energy decay for linear dissipative wave equations in exterior domains ⋮ Diffusion phenomenon for linear dissipative wave equations in an exterior domain

Cites Work

• Unnamed Item
• On the asymptotic behavior of solutions of semi-linear wave equations
• Dynamics of non-linear wave equations
• Weighted L∞ and L1 estimates for solutions to the classical wave equation in three space dimensions
• Dispersion for non-linear relativistic equations. II
• On the diffusion phenomenon of quasilinear hyperbolic waves

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