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Function Theoretic Integral Operator Methods for Partial Differential Equations(1)

Published online by Cambridge University Press:  20 November 2018

Erwin Kreyszig
Erwin Kreyszig*
Affiliation:
University of Windsor Windsor, Ontario
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It is well known that complex analytic functions and harmonic functions of two real variables are closely related, so that from methods and results in complex function theory one can easily obtain theorems on those harmonic functions. This is the prototype of a relation between complex analysis and a partial differential equation (Laplace's equation in two variables). In the case of more general linear partial differential equations, one can establish similar relations.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 2 , 01 June 1980 , pp. 127 - 135
Copyright
Copyright © Canadian Mathematical Society 1980

Footnotes

(2)

Supported by the N.S.E.R.C. of Canada under grant A9097.

(1)

This paper is one of a series of survey papers written at the invitation of the editors.

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