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Title: On an explicit form of the Green function of the third boundary value problem for the Poisson equation in a circle

The paper is devoted to the investigation of questions about constructing the explicit form of the Green’s function of the Robin problem. For constructing this function we use the representation of the fundamental solution of the Laplace equation in the form of a series. An integral representation of the Green function is obtained and for some values of the parameters, the problem is presented in elementary functions.
Authors:
 [1] ; ;  [2]
  1. Institute of Mathematics and Mathematical Modeling, 050010, Almaty (Kazakhstan)
  2. Akhmet Yasawi International Kazakh-Turkish University, 161200, Turkistan (Kazakhstan)
Publication Date:
OSTI Identifier:
22308269
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1611; Journal Issue: 1; Conference: ICAAM 2014: International conference on analysis and applied mathematics, Shymkent (Kazakhstan), 11-13 Sep 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY-VALUE PROBLEMS; GREEN FUNCTION; LAPLACE EQUATION; MATHEMATICAL SOLUTIONS; POISSON EQUATION