A Mixed Problem with an Integral Two-Space-Variables Condition for Parabolic Equation with The Bessel Operator | Zendy

Abdelfatah Bouziani | Zendy; Taki-Eddine Oussaeif | Zendy; Ben Aoua Leila | Zendy

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

Author(s) -

Abdelfatah Bouziani,

Taki-Eddine Oussaeif,

Ben Aoua Leila

Publication year - 2013

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/457631

Subject(s) - mathematics , bessel function , uniqueness , sobolev space , mathematical analysis , operator (biology) , space (punctuation) , compact operator , a priori estimate , a priori and a posteriori , biochemistry , chemistry , linguistics , philosophy , epistemology , repressor , computer science , transcription factor , extension (predicate logic) , gene , programming language

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

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