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A THIRD MIXED BOUNDARY VALUE PROBLEM ON A SPHERE

HARRY L. JOHNSON
Quarterly of Applied Mathematics
Vol. 44, No. 2 (July 1986), pp. 201-212
Published by: Brown University
Stable URL: http://www.jstor.org/stable/43637362
Page Count: 12
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A THIRD MIXED BOUNDARY VALUE PROBLEM ON A SPHERE
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Abstract

The paper is concerned with the existence of a classical solution of a mixed third boundary value problem on a sphere. The existence is proved by reducing the problem to a Fredholm integral equation that has a unique solution. Various consequences of the existence theorem are mentioned and some numerical results are given.

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