Table of Contents
ISRN Mathematical Analysis
Volume 2011, Article ID 243724, 18 pages
http://dx.doi.org/10.5402/2011/243724
Research Article

On Differential Properties π‘…πœˆ-Generalized Solution of the Dirichlet Problem with Coordinated Degeneration of the Input Data

Computing Center, Far-Eastern Branch, Russian Academy of Sciences, Djambula Street, 25-260, Khabarovsk 680011, Russia

Received 16 February 2011; Accepted 11 April 2011

Academic Editors: G. MisioΕ‚ek and C. Zhu

Copyright Β© 2011 Victor Anatolievich Rukavishnikov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the first boundary value problem for second-order differential equation with strong singularity caused by coordinated degeneration of the input data. For this problem, we study the differential properties of the π‘…πœˆ-generalized solution, that is, the fact that it belongs to the space π»π‘˜+22,𝜈+𝛽/2(Ξ©).