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Lower \(L^ p\)-bounds for scattering solutions of the Schrödinger equations

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Publication:914950
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DOI10.2977/prims/1195173182zbMath0702.35021OpenAlexW1976892303MaRDI QIDQ914950

Tohru Ozawa

Publication date: 1989

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195173182

zbMATH Keywords

Schrödinger equationsscattering solutions


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)


Related Items

Lower bounds for order of decay or of growth in time for solutions to linear and nonlinear Schrödinger equations



Cites Work

  • On Enss' approach to scattering theory
  • On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
  • Commutators and scattering theory. I: Repulsive interactions
  • The abstract theory of scattering
  • The asymptotic behavior of nonlinear Schrödinger equations
  • L∞C(ℝn)-decay of classical solutions for nonlinear Schrödinger equations
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