A third mixed boundary value problem on a sphere
Author:
Harry L. Johnson
Journal:
Quart. Appl. Math. 44 (1986), 201-212
MSC:
Primary 35J05; Secondary 35C10
DOI:
https://doi.org/10.1090/qam/856175
MathSciNet review:
856175
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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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Article copyright:
© Copyright 1986
American Mathematical Society