The Dirichlet Problem for the Slab with Entire Data and a Difference Equation for Harmonic Functions
2017 ◽
Vol 60
(1)
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pp. 146-153
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Keyword(s):
AbstractIt is shown that the Dirichlet problem for the slab (a, b) × ℝd with entire boundary data has an entire solution. The proof is based on a generalized Schwarz reflection principle. Moreover, it is shown that for a given entire harmonic function g, the inhomogeneous difference equation h(t + 1, y) − h(t, y) = g(t, y) has an entire harmonic solution h.
2003 ◽
Vol DMTCS Proceedings vol. AC,...
(Proceedings)
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Keyword(s):
2008 ◽
Vol 348
(2)
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pp. 685-691
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Keyword(s):
1996 ◽
Vol 53
(2)
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pp. 197-207
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2006 ◽
Vol 5
(2)
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pp. 445-457
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Keyword(s):
1985 ◽
Vol 26
(2)
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pp. 115-120
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2021 ◽
Vol 34
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pp. 85-99
2018 ◽
Vol 32
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pp. 30-41