Neumann problem for Poisson equation in a planar circular rectangle
Begehr H. Lin H. Liu H. Shupeyeva B.
2025Taylor and Francis Ltd.
Applicable Analysis
2025#104Issue 161 - 68 pp.
The Neumann boundary value problem for the Poisson equation is explicitly solved under a natural compatibility condition for the data in a particular planar circular rectangle. The case studied here is different from regular cases as the normalization condition for the Neumann function given as an integral is divergent. Hence, no normalization condition for the Neumann problem is available and the solution, if it exists, is only given up to an additive constant.
harmonic Neumann function , Neumann boundary value problem , Parqueting-reflection principle , planar circular rectangle , Poisson equation
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Institute of Mathematics, FU Berlin, Berlin, Germany
Institute of Mathematics, School of Science, Tianjin University of Technology and Education, Tianjin, China
Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, Nur-Sultan City, Kazakhstan
Institute of Mathematics
Institute of Mathematics
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
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