Harmonic Functions

Ravi P. Agarwal (), Kanishka Perera () and Sandra Pinelas ()
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Ravi P. Agarwal: Florida Institute of Technology, Department of Mathematics
Kanishka Perera: Florida Institute of Technology, Department of Mathematical Sciences
Sandra Pinelas: Azores University, Department of Mathematics

Chapter Lecture 40 in An Introduction to Complex Analysis, 2011, pp 267-274 from Springer

Abstract: Abstract In this lecture, we shall employ earlier results to establish some fundamental properties of harmonic functions. The results obtained strengthen our understanding of harmonic functions and are of immense help in solving boundary value problems for the Laplace equation. We begin by proving the following result.

Keywords: Harmonic Function; Conformal Mapping; Laplace Equation; Harnack Inequality; Level Curve (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-0195-7_40

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DOI: 10.1007/978-1-4614-0195-7_40

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