Exponential growth for wave equation with fractional boundary dissipation and boundary source term

DOI10.1186/s13661-014-0138-yzbMath1304.35086OpenAlexW2160841511WikidataQ59323279 ScholiaQ59323279MaRDI QIDQ481565

Huiya Dai, Hongwei Zhang

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0138-y

zbMATH Keywords

wave equationFourier transformsexponential growthfractional boundary dissipationHardy-Littlewood-Soblev inequalitysufficiently large initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (7)

General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms ⋮ Indirect stability of a multidimensional coupled wave equations with one locally boundary fractional damping^* ⋮ Global existence, general decay and blow-up for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation ⋮ Stability of wave equation with variable coefficients by boundary fractional dissipation law ⋮ The boundary control strategy for a fractional wave equation with external disturbances ⋮ Stabilization of multidimensional wave equation with locally boundary fractional dissipation law under geometric conditions ⋮ Stability of wave equations on Riemannian manifolds with locally boundary fractional feedback laws under geometric conditions

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