Potential Analysis

, Volume 46, Issue 1, pp 55–62 | Cite as

Dirichlet’s Problem with Entire Data Posed on an Ellipsoidal Cylinder

  • Dmitry Khavinson
  • Erik Lundberg
  • Hermann Render


We consider the Dirichlet problem for Laplace’s equation with real-analytic data posed on the boundary of a cylinder. If the base of the cylinder is an ellipsoid and if the data function is an entire function of order less than 1, we show that there is an entire solution.


Dirichlet problem Fischer operator Ellipsoid 

Mathematics Subject Classifications (2010)



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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • Dmitry Khavinson
    • 2
  • Erik Lundberg
    • 1
  • Hermann Render
    • 3
  1. 1.Florida Atlantic UniversityBoca RatonUSA
  2. 2.University of South FloridaTampaUSA
  3. 3.University College DublinDublinIreland

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