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The Schrödinger Equation Δu = µu in a Neighbourhood of an Isolated Singularity of µ

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Potential Theory

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Abstract

In this paper we present new results about the Picard principle and the behaviour of the continuous solutions of the Schrödinger equation Δu = µu at an isolated singularity of the measure µ. Using the axiomatic potential theory, a criterion for the integrability of µ is given.

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References

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Author information

Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences de Tunis, 1060, Tunis, Tunisia

    Abderrahman Boukricha

Authors
  1. Abderrahman Boukricha
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Editor information

Editors and Affiliations

  1. Czechoslovak Academy of Sciences, Prague, Czechoslovakia

    Josef Král

  2. Charles University, Prague, Czechoslovakia

    Jaroslav Lukeš , Ivan Netuka  & Jiří Veselý ,  & 

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© 1988 Plenum Press, New York

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Boukricha, A. (1988). The Schrödinger Equation Δu = µu in a Neighbourhood of an Isolated Singularity of µ. In: Král, J., Lukeš, J., Netuka, I., Veselý, J. (eds) Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0981-9_8

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  • DOI: https://doi.org/10.1007/978-1-4613-0981-9_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8276-1

  • Online ISBN: 978-1-4613-0981-9

  • eBook Packages: Springer Book Archive

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