A harmonic function in a cylinder with the normal derivative vanishing on the boundary is expanded into an infinite sum of certain fundamental harmonic functions. The growth condition under which it is reduced to a finite sum of them is given.
@article{bwmeta1.element.bwnjournal-article-apmv74z1p229bwm,
author = {Miyamoto, Ikuko and Yoshida, Hidenobu},
title = {Harmonic functions in a cylinder with normal derivatives vanishing on the boundary},
journal = {Annales Polonici Mathematici},
volume = {75},
year = {2000},
pages = {229-235},
zbl = {0966.31003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv74z1p229bwm}
}
Miyamoto, Ikuko; Yoshida, Hidenobu. Harmonic functions in a cylinder with normal derivatives vanishing on the boundary. Annales Polonici Mathematici, Tome 75 (2000) pp. 229-235. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv74z1p229bwm/
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