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Differential Equations

, Volume 46, Issue 2, pp 277–283 | Cite as

Integral representations and boundary value problems for a second-order elliptic system with a singular point

  • A. B. Rasulov
Partial Differential Equations
  • 41 Downloads

Abstract

For a second-order elliptic system with a singular point, we obtain integral representations and inversion formulas for the case in which the singular point is an interior point of the domain. In the integral representations, we clearly extract the singular part of the solutions, which permits one to study the asymptotics of the solutions as r → 0. In addition, we give a well-posed statement of a number of boundary value problems.

Keywords

Singular Point Integral Representation Interior Point Elliptic System Inversion Formula 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • A. B. Rasulov
    • 1
  1. 1.Moscow Power Engineering InstituteMoscowRussia

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