On long-time decay for modified Klein-Gordon equation

zbMath1213.35106MaRDI QIDQ627344

Elena A. Kopylova

Publication date: 1 March 2011

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1298670009

zbMATH Keywords

convolutionspectral representationweighted spacesrelativistic equationsBorn seriesdispersive long-time decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) (2)-body potential quantum scattering theory (81U05) Second-order hyperbolic equations (35L10) Scattering theory of linear operators (47A40)

Related Items (2)

Asymptotic stability of solitons for nonlinear hyperbolic equations ⋮ On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation

Cites Work

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• Spectral properties of Schrödinger operators and time-decay of the wave functions. Results in \(L^ 2(R^ 4)\)
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• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Asymptotic expansions in time for solutions of Schrödinger-type equations
• On operators depending meromorphically on a parameter
• Weighted Energy Decay for 1D Klein–Gordon Equation
• A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS

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