When is the energy of the 1D damped Klein-Gordon equation decaying?

DOI10.1007/S00208-018-1725-5zbMath1404.35052OpenAlexW2882385169WikidataQ129540695 ScholiaQ129540695MaRDI QIDQ1627785

Milena Stanislavova, Satbir Malhi

Publication date: 3 December 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-018-1725-5

zbMATH Keywords

condition on the continuous damping function

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (6)

Equivalence between the energy decay of fractional damped Klein–Gordon equations and geometric conditions for damping coefficients ⋮ Global stability dynamics of the quasilinear damped Klein-Gordon equation with variable coefficients ⋮ On the solution behavior of a nonlinear time-fractional Klein-Gordon equation: theoretical study and numerical validation ⋮ On the energy decay rate of the fractional wave equation on ℝ with relatively dense damping ⋮ Exponential decay for the linear KdV with a rough localized damping ⋮ Uncertainty principles associated to sets satisfying the geometric control condition

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