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Regularity in a Schrödinger equation with a potential singular at finite distance and at infinity

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Publication:1420166
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DOI10.1016/j.crma.2003.10.011zbMath1032.35048OpenAlexW1993247787MaRDI QIDQ1420166

Otared Kavian, Jean-Pierre Puel, Lucie Baudouin

Publication date: 28 January 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.011


zbMATH Keywords

well-posedCoulombian potential


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with quantum mechanics (35Q40) Initial value problems for linear higher-order PDEs (35G10)


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Cites Work

  • Compact sets in the space \(L^ p(0,T;B)\)
  • Existence of solutions for Schrödinger evolution equations
  • Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
  • Contrôle optimal bilinéaire d'une équation de Schrödinger
  • ON THE TIME-DEPENDENT HARTREE–FOCK EQUATIONS COUPLED WITH A CLASSICAL NUCLEAR DYNAMICS
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