Preprint no. 146
Mathematical Institute of the Academy of Sciences of the Czech Republic

Boundedness of the solution of the third problem
for the Laplace equation

Dagmar Medkova

Dagmar Medkova, Mathematical Institute, Acad. Sci.of the Czech Republic, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: medkova@math.cas.cz

Summary: The third problem for the Laplace equation is studied on the very wide class of domains including domains with piecewise-smooth boundary. The necessary and sufficient condition is given for the existence of a bounded solution of this problem.

Keywords: Laplace equation, third problem, bounded solution, single layer potential

MSC (2000) Subject Classification: 35B65

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