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Scattering solutions decay at least logarithmically

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Publication:1252968
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DOI10.3792/pjaa.54.42zbMath0395.35022OpenAlexW1975344857MaRDI QIDQ1252968

Minoru Murata

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.42


zbMATH Keywords

Schrödinger OperatorAsymptotic BehaviorScattering Solutions


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05) Higher-order elliptic equations (35J30)


Related Items

Unnamed Item ⋮ New \(L^ p\)-estimates for solutions to the Schrödinger equations and time asymptotic behavior of observables ⋮ Asymptotic expansions in time for solutions of Schrödinger-type equations ⋮ Schrödinger spectral kernels: High order asymptotic expansions



Cites Work

  • Local decay of scattering solutions to Schrödinger's equation
  • Rate of decay of local energy and wave operators for symmetric systems
  • Scattering theory for differential operators. I: Operator theory
  • ON EXTERIOR ELLIPTIC PROBLEMS POLYNOMIALLY DEPENDING ON A SPECTRAL PARAMETER, AND THE ASYMPTOTIC BEHAVIOR FOR LARGE TIME OF SOLUTIONS OF NONSTATIONARY PROBLEMS
  • Unnamed Item
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