Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation

DOI10.1007/s11868-015-0141-9zbMath1350.42045OpenAlexW2253902974MaRDI QIDQ330612

Marcello D'Abbicco, Tiago Picon, Marcelo Rempel Ebert

Publication date: 26 October 2016

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-015-0141-9

zbMATH Keywords

evolution equationsreal Hardy spacesstructural dissipation

Mathematics Subject Classification ID

Wave equation (35L05) (H^p)-spaces (42B30) Initial value problems for second-order hyperbolic equations (35L15) Harmonic analysis and PDEs (42B37)

Related Items (13)

The semidiscrete damped wave equation with a fractional Laplacian ⋮ A dissipative logarithmic-Laplacian type of plate equation: asymptotic profile and decay rates ⋮ Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms ⋮ A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations ⋮ Decay estimates for the double dispersion equation with initial data in real Hardy spaces ⋮ Estimates of damped fractional wave equations ⋮ The critical exponent(s) for the semilinear fractional diffusive equation ⋮ Molecular characterization of anisotropic variable Hardy-Lorentz spaces ⋮ Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping ⋮ Long Time Decay Estimates in Real Hardy Spaces for the Double Dispersion Equation ⋮ A dissipative logarithmic-type evolution equation: asymptotic profile and optimal estimates ⋮ Triebel-Lizorkin space estimates for evolution equations with structure dissipation ⋮ Double diffusion structure of logarithmically damped wave equations with a small parameter

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