Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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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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DOI: https://doi.org/10.1090/qam/856175
Article copyright: © Copyright 1986 American Mathematical Society


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