Mixed problem with a weighted integral condition for a parabolic equation with the Bessel operator
Author(s) -
Said Mesloub,
Abdelfatah Bouziani
Publication year - 2000
Publication title -
international journal of stochastic analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-3340
pISSN - 2090-3332
DOI - 10.1155/s1048953302000242
Subject(s) - mathematics , bessel function , uniqueness , operator (biology) , mathematical analysis , a priori and a posteriori , compact operator , parabolic partial differential equation , range (aeronautics) , partial differential equation , biochemistry , chemistry , philosophy , materials science , epistemology , repressor , composite material , computer science , transcription factor , extension (predicate logic) , gene , programming language
In this paper, we prove the existence, uniqueness and continuous dependence on the data of a solution of a mixed problem with a weighted integral condition for a parabolic equation with the Bessel operator. The proof uses a functional analysis method based on an a priori estimate and on the density of the range of the operator generated by the considered problem
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