On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball
Makhmud A. Sadybekov, Aishabibi Dukenbayeva
Abstract
In this paper, we consider nonlocal boundary value problems for the Laplace operator in a ball, which are a multidimensional generalisation of the Samarskii–Ionkin problem. The well-posedness of the problems are investigated, and Fredholm property of the problems are studied. Moreover, we obtain integral representations of their solutions in explicit forms.
Topics & Concepts
MathematicsBoundary value problemLaplace transformBall (mathematics)Operator (biology)Mathematical analysisType (biology)Fredholm integral equationIntegral equationTranscription factorRepressorEcologyBiologyBiochemistryChemistryGeneDifferential Equations and Boundary ProblemsDifferential Equations and Numerical MethodsNumerical methods in inverse problems