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Schrödinger-type evolution equations in \(L^p(\Omega)\)

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Publication:5944907
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DOI10.1006/jmaa.2001.7435zbMath0986.35092OpenAlexW2008618462MaRDI QIDQ5944907

Ti-Jun Xiao, Jin Liang

Publication date: 13 June 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7435

zbMATH Keywords

Cauchy problemSchrödinger equationDirichlet or Neumann boundary conditionsgenerator of a groupwellposedness


Mathematics Subject Classification ID

Abstract parabolic equations (35K90) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)


Related Items

Representation of complex powers of C-sectorial operators



Cites Work

  • Unnamed Item
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  • Fractional powers of closed operators and the semigroups generated by them
  • The Cauchy problem for higher-order abstract differential equations
  • Existence families, functional calculi and evolution equations
  • On the Schrödinger equation in \(L^ p\) spaces
  • Espaces d'interpolation et théorème de Soboleff
  • Integrated semigroups and differential operators on \(L^ p\) spaces
  • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
  • A Note on Interpolation of Semigroups
  • Fractional powers of operators
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