A Mixed Problem with an Integral Two-Space-Variables Condition for Parabolic Equation with The Bessel Operator. (2nd May 2013)

• Record Type: Journal Article
• Authors: Abdelfatah, Bouziani; Taki-Eddine, Oussaeif; Leila, Ben Aoua
• Other Names: Tadi Mohsen Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2013(2013)
• Publication Date: 2013-05-02
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2013/457631
• Languages: English
• ISSNs: 2314-4629

Abstract

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 space are 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.