Some remarks on the asymptotic profiles of solutions for strongly damped wave equations on the 1-D half space

DOI10.1016/j.jmaa.2014.07.055zbMath1304.35396OpenAlexW1998170592MaRDI QIDQ401413

Ryo Ikehata

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.055

zbMATH Keywords

weighted \(L^1\)-initial data

Mathematics Subject Classification ID

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

Related Items (5)

Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms ⋮ Asymptotic profile of solutions to the linearized double dispersion equation on the half space \(\mathbb{R}^{n}_+\) ⋮ Long time behavior for the visco-elastic damped wave equation in \(\mathbb{R}^n_+\) and the boundary effect ⋮ Pointwise long time behavior for the mixed damped nonlinear wave equation in \(\mathbb{R}^n_+\) ⋮ Asymptotic profile of solutions for wave equations with frictional and viscoelastic damping terms

Cites Work

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• Diffusion phenomenon for linear dissipative wave equations
• On the initial value problem of the semilinear beam equation with weak damping. II: Asymptotic profiles
• Energy decay estimates for wave equations with a fractional damping.
• Wave equations with strong damping in Hilbert spaces
• Asymptotic profiles for wave equations with strong damping
• Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space
• Decay estimates of solutions for the wave equations with strong damping terms in unbounded domains
• Semilinear structural damped waves
• Global existence of small solutions to a class of nonlinear evolution equations
• Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
• New decay estimates for linear damped wave equations and its application to nonlinear problem
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow

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