Metaharmonic functions: Mean flux theorem, its converse and related properties
Author:
Abstract
The mean flux theorems are proved for solutions of the Helmholtz equation and its modified version. Also, their converses are considered along with some other properties which generalize those that guarantee harmonicity.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference27 articles.
1. Graduate Texts in Mathematics;Axler, Sheldon,2001
2. Mean-values and harmonic polynomials;Beckenbach, E. F.;Trans. Amer. Math. Soc.,1943
3. D. ben-Avraham and A. S. Fokas, Solution of the modified Helmholtz equation in a triangular domain and an application to diffusion-limited coalescence, Phys. Rev. E 64 (2001), 016114.
4. M. Bôcher, On harmonic functions in two dimensions, Proc. Amer. Acad. Arts and Sci. 41 (1906), 557–583.
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