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On Levi Functions

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Professor Wolfgang Wendland (University Stuttgart), 25 February 2010, 10 a.m., T111
When Feb 25, 2010
from 10:00 AM to 11:30 AM
Where T111
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On Levi Functions

Fundamental solutions to elliptic partial differential operators are explicitly known only in particular cases whereas Levi functions can always be constructed.

In this lecture, the simple case of a second order operator with variable coeffients will be considered and with Levi Functions a system of domain-boundary integral equations for the Dirichlet problem will be obtained. The mapping properties of the corresponding operators will provide the opportunity of employing efficient solution techniques.



  • E.E. Levi: Sulle equazioni lineari totalmente ellittiche alle derivati parziali. Rend. Circ. Math. Palermo 24 (1907) 275-317.
  • D. Hilbert: Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen. Teubner, Leipzig 1912.
  • A. Pomp: The Boundary-Domain Integral Method for Elliptic Systems. Springer-Lecture Notes 1683, 1998.
  • G.C. Hsiao, W.L. Wendland: Boundary Integral Equations. Springer-Verlag Berlin 2008.