Solvability of nonlocal boundary-value problems for the Laplace equation in the ball

Solvability of nonlocal boundary-value problems for the Laplace equation in the ball

In this article, we consider a class of nonlocal problems for the Laplace equation with boundary operators of fractional order. We prove the existence, uniqueness and a representation of the solutions. Also it is shown that the smoothness of solutions in Holder classes depends on the order of t...

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Bibliographic Details
Main Authors: Makhmud A. Sadybekov, Batirkhan Kh. Turmetov, Berikbol T. Torebek
Format: Article
Language:English
Published: Texas State University 2014-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Riemann-Liouville operator
Caputo operator
periodic problem
antiperiodic problem
nonlocal problem
Laplace equation
Poisson kernel
harmonic function
Online Access:http://ejde.math.txstate.edu/Volumes/2014/157/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2014/157/abstr.html

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