On the solvability of the main boundary value problems for a nonlocal Poisson equation

DOI10.3906/mat-1901-71zbMath1463.35202OpenAlexW2947105659WikidataQ127769005 ScholiaQ127769005MaRDI QIDQ5116222

Berikbol T. Torebek, Makhmud Abdysametovich Sadybekov, Batirkhan Kh. Turmetov

Publication date: 24 August 2020

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj227

zbMATH Keywords

Green's functionLaplace operatorPoisson equationNeumann problemNeumann kernel

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (2)

On Green's function of Cauchy-Dirichlet problem for hyperbolic equation in a quarter plane ⋮ On the solvability of the main boundary value problems for a nonlocal Poisson equation

Cites Work

• Green function representation in the Dirichlet problem for polyharmonic equations in a ball
• On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
• Biharmonic Green function and biharmonic Neumann function in a sector
• Tri-harmonic boundary value problems in a sector
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