APPLICATIONS OF MATHEMATICS, Vol. 43, No. 2, pp. 133-155, 1998

Solution of the Robin problem
for the Laplace equation

Dagmar Medkova

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

Abstract: For open sets with a piecewise smooth boundary it is shown that we can express a solution of the Robin problem for the Laplace equation in the form of a single layer potential of a signed measure which is given by a concrete series.

Keywords: Laplace equation, Robin problem, single layer potential

Classification (MSC 1991): 31B10, 35J05, 35J25


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