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Online ISSN 1552-4485; Print ISSN 0033-569X
Reduction of the third boundary value problem by means of harmonic functions
Author:
Clive R. Chester
Journal:
Quart. Appl. Math. 25 (1967), 335-337
DOI:
https://doi.org/10.1090/qam/99883
MathSciNet review:
QAM99883
Full-text PDF Free Access
References | Additional Information
- Clive R. Chester, Reduction of a boundary value problem of the third kind to one of the first kind, J. Math. and Phys. 40 (1961), 68–71. MR 123018
- R. V. Churchill, The operational calculus of Legendre transforms, J. Math. Physics 33 (1954), 165–178. MR 0062871, DOI https://doi.org/10.1016/0378-4754%2891%2990171-x
- G. F. D. Duff, Partial differential equations, Mathematical Expositions, no. 9, University of Toronto Press, Toronto, 1956. MR 0078550
- N. I. Muskhelishvili, Singular integral equations, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR 0355494
- Hillel Poritsky, On reflection of singularities of harmonic functions corresponding to the boundary condition $\partial u/\partial n+au=0$, Bull. Amer. Math. Soc. 43 (1937), no. 12, 873–884. MR 1563652, DOI https://doi.org/10.1090/S0002-9904-1937-06673-0
- Ian N. Sneddon, Elements of partial differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1957. MR 0082600
Additional Information
Article copyright:
© Copyright 1967
American Mathematical Society