Time decay of solutions of semilinear strongly damped generalized wave equations

DOI10.1002/mma.1670140607zbMath0753.35011OpenAlexW2069399928MaRDI QIDQ3982277

Piotr Biler

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1002/mma.1670140607

zbMATH Keywords

Cauchy problemscattering theorynonlinear problemsoptimal decay rateslinearized problemsdissipative perturbationsconformal invariants of the linear operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (8)

Instability of the stationary solutions of generalized dissipative Boussinesq equation. ⋮ On the spatially two-dimensional Boussinesq equation in a circular domain ⋮ Inviscid limit for the damped Boussinesq equation ⋮ Decay estimates for a dissipative-dispersive linear semigroup and application to the viscous Boussinesq equation ⋮ Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source ⋮ Finite difference schemes for the two‐dimensional semilinear wave equation ⋮ A note on a weakly coupled system of structurally damped waves ⋮ The Cauchy problem for the nonlinear viscous Boussinesq equation in the \(L^q\) framework

Cites Work

• Regularity of solutions to nonlinear dispersive equations
• A singular perturbation problem for nonlinear damped hyperbolic equations
• Quasilinear wave equations and related nonlinear evolution equations

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