Energy estimates for the Cauchy problem of Klein-Gordon-type equations with non-effective and very fast oscillating time-dependent potential
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Publication:1647874
DOI10.1007/s10231-017-0705-9zbMath1395.35131OpenAlexW2765697343MaRDI QIDQ1647874
Wanderley Nunes do Nascimento, Fumihiko Hirosawa
Publication date: 27 June 2018
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-017-0705-9
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15)
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Cites Work
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- Generalized energy conservation for Klein-Gordon type equations
- Global existence of the scalar field in de Sitter spacetime
- Energy bounds for Klein-Gordon equations with time-dependent potential
- A scale-invariant Klein-Gordon model with time-dependent potential
- On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions
- \(L^p\)-\(L^q\) estimate for wave equation with bounded time dependent coefficient
- Wave equations with time-dependent dissipation. I: Non-effective dissipation
- Energy estimates at infinity for hyperbolic equations with oscillating coefficients
- Wave equations with time-dependent dissipation. II: Effective dissipation
- \(C^m\)-theory of damped wave equations with stabilisation
- Generalised energy conservation law for wave equations with variable propagation speed
- On the asymptotic behavior of the energy for the wave equations with time depending coefficients
- Lp - Lq Decay Estimates for Wave Equations with Time-Dependent Coefficients
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