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Differential Equations

, Volume 48, Issue 8, pp 1119–1126 | Cite as

Dirichlet problem in the ball for an equation with a delta-like coefficient

  • A. B. Antonevich
  • D. A. Lyakhov
Partial Differential Equations
  • 94 Downloads

Abstract

We study the Dirichlet problem in the ball for the Helmholtz equation with an additional term in the form of the product by the delta function. The additional term is approximated by the simplest integral expression, and the solution of the original equation is defined as the limit of solutions of the regularized equations. We obtain exact solutions depending on the chosen method of approximation.

Keywords

Closed Form Unit Ball Dirichlet Problem Delta Function Choose Method 
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. 2012

Authors and Affiliations

  • A. B. Antonevich
    • 1
  • D. A. Lyakhov
    • 1
  1. 1.Belarus State UniversityMinskBelarus

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