Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A nonstandard nonlinear boundary value problem for harmonic functions

Author: Nima Geffen
Journal: Quart. Appl. Math. 41 (1983), 289-300
MSC: Primary 76B05; Secondary 31A25
DOI: https://doi.org/10.1090/qam/721419
MathSciNet review: 721419
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Abstract: Existence and uniqueness are proved for a nonstandard, nonlinear boundary-value problem for 2-dimensional harmonic functions. The problem models an ideal flow-field, and a few cases of applied interest are considered. Slight generalizations are derived in the appendix.

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DOI: https://doi.org/10.1090/qam/721419
Article copyright: © Copyright 1983 American Mathematical Society

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