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- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266115020093
- Publisher site
- See Article on Publisher Site
Abstract
In the class of harmonic functions, we study the properties of fractional integro-differential operators. By way of application of these properties, we analyze the solvability of some boundary value problems for the Laplace equation in the ball and derive solvability conditions. The smoothness of the solutions in the Hölder class is studied as well.
Journal
Differential Equations – Springer Journals
Published: Mar 22, 2015