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

DOI10.3906/mat-1901-71zbMath1421.35058OpenAlexW2947105659WikidataQ127769005 ScholiaQ127769005MaRDI QIDQ5229865

Abdizhahan M. Sarsenbi, Valery V. Karachik, Batirkhan Kh. Turmetov

Publication date: 19 August 2019

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

Full work available at URL: https://doi.org/10.3906/mat-1901-71

zbMATH Keywords

existence and uniqueness of solutionsintegral representations of solutionsnonlocal Poisson equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

On solvability of the Dirichlet and Neumann boundary value problems for the Poisson equation with multiple involution ⋮ ON THE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS
 WITH INVOLUTION ⋮ NEUMANN BOUNDARY CONDITION FOR A NONLOCAL BIHARMONIC EQUATION ⋮ The inverse problem for the heat equation with reflection of the argument and with a complex coefficient ⋮ Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball ⋮ On a nonlocal boundary value problem with an oblique derivative ⋮ ON A DIRICHLET PROBLEM FOR A NONLOCAL POLYHARMONIC EQUATION ⋮ An inverse problem for a parabolic equation with involution ⋮ On the unique solvability of a boundary value problem for systems of loaded integro-differential equations with involution

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