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Modern Aspects of the Theory of Partial Differential Equations pp 187–210Cite as

A Boundary Condition and Spectral Problems for the Newton Potential

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Part of the book series: Operator Theory: Advances and Applications ((APDE,volume 216))

Abstract

In this paper we give a boundary condition on the Newton(volume) potential for a bounded domain Ω and find its eigenvalues and eigenfunctions for the 2-disk and the 3-ball. We also extend these results in different directions.

Mathematics Subject Classification (2000). 31B20; 35P20.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics Computer Science and Mechanics Ministry of Education and Science of Kazakhstan, str. Shevchenko 28, Almaty, 050010, Kazakhstan

    T. Sh. Kalmenov & D. Suragan

Authors
  1. T. Sh. Kalmenov
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  2. D. Suragan
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Corresponding author

Correspondence to T. Sh. Kalmenov .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Imperial College London, 180 Queen's Gate, London, SW7 2AZ, United Kingdom

    Michael Ruzhansky

  2. , Fachbereich Mathematik, Universität Stuttgart, Pfaffenwaldring 57, Stuttgart, 70569, Germany

    Jens Wirth

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Kalmenov, T.S., Suragan, D. (2011). A Boundary Condition and Spectral Problems for the Newton Potential. In: Ruzhansky, M., Wirth, J. (eds) Modern Aspects of the Theory of Partial Differential Equations. Operator Theory: Advances and Applications(), vol 216. Springer, Basel. https://doi.org/10.1007/978-3-0348-0069-3_11

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