A Mixed Problem with an Integral Two-Space-Variables Condition for Parabolic Equation with The Bessel OperatorReport as inadecuate




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Journal of MathematicsVolume 2013 2013, Article ID 457631, 8 pages

Research ArticleDepartment of Mathematics and Informatics, The Larbi Ben M-hidi University, 04000 Oum El Bouaghi, Algeria

Received 27 October 2012; Revised 12 March 2013; Accepted 29 March 2013

Academic Editor: Mohsen Tadi

Copyright © 2013 Bouziani Abdelfatah et al. 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 study a mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator. The existence and uniqueness of the solution in functional weighted Sobolev spaceare proved. The proof is based on a priori estimate -energy inequality- and the density of the range of the operator generated by the problem considered.





Author: Bouziani Abdelfatah, Oussaeif Taki-Eddine, and Ben Aoua Leila

Source: https://www.hindawi.com/



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