4.3 Article

Boundary value problems in upper half plane

期刊

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
卷 54, 期 5, 页码 441-448

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TAYLOR & FRANCIS LTD
DOI: 10.1080/17476930902750840

关键词

Schwarz boundary conditions; Dirichlet problem; Cauchy-Pompeiu representation; Gauss theorem

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Explicit representations for the solution of higher order equations are obtained for Dirichlet boundary conditions and Schwarz boundary conditions in the upper half plane. We also investigate a mixed boundary value problem for the inhomogeneous polyanalytic equation.

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