Energy bounds for Klein-Gordon equations with time-dependent potential

DOI10.1007/s11565-012-0162-8zbMath1310.35148OpenAlexW2101121175MaRDI QIDQ467111

Michael Reissig, Christiane Böhme

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-012-0162-8

zbMATH Keywords

Floquet's theoryHill's equationgeneralized energy conservationblow up at infinity

Mathematics Subject Classification ID

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

Related Items (5)

On \(t\)-dependent hyperbolic systems. II. ⋮ Energy estimates for the Cauchy problem of Klein-Gordon-type equations with non-effective and very fast oscillating time-dependent potential ⋮ Generalized energy conservation for Klein-Gordon type equations ⋮ Unnamed Item ⋮ Klein-Gordon equations with homogeneous time-dependent electric fields

Cites Work

• Generalized energy conservation for Klein-Gordon type equations
• A scale-invariant Klein-Gordon model with time-dependent potential
• On the asymptotic behavior of the energy for the wave equations with time depending coefficients
• Instability Behavior and Loss of Regularity
• Floquet exponent for instability intervals of Hill's equation
• One application of Floquet's theory toLp-Lq estimates for hyperbolic equations with very fast oscillations
• Instability intervals of Hill's equation
• Instability intervals of Hill's equation
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