Neumann problem for Poisson equation in a planar circular rectangle

Heinrich Begehr, Hanxing Lin, Hua Liu, Bibinur Shupeyeva

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
JournalApplicable Analysis
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • harmonic Neumann function
  • Neumann boundary value problem
  • Parqueting-reflection principle
  • planar circular rectangle
  • Poisson equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Neumann problem for Poisson equation in a planar circular rectangle'. Together they form a unique fingerprint.

Cite this