On harmonic continuation
Glasgow mathematical journal, Tome 6 (1963) no. 1, pp. 54-56
Voir la notice de l'article provenant de la source Cambridge University Press
Let D be a bounded, closed, simply-connected domain whose boundary C consists of a finite number of analytic Jordan curves. Let γ be any analytic arc of C. Then we shall prove the following theorem.Theorem 1. Let u(x, y) be harmonic in the interior of D and continuous on γ, and let ρu(x, y)/ρn=g(s) when (x, y) is on γ, where g(s) is an analytic function of arc-length s along γ. Then u(x, y) can be harmonically continued across γ.
Eastham, M. S. P. On harmonic continuation. Glasgow mathematical journal, Tome 6 (1963) no. 1, pp. 54-56. doi: 10.1017/S2040618500034717
@article{10_1017_S2040618500034717,
author = {Eastham, M. S. P.},
title = {On harmonic continuation},
journal = {Glasgow mathematical journal},
pages = {54--56},
year = {1963},
volume = {6},
number = {1},
doi = {10.1017/S2040618500034717},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034717/}
}
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