On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces

On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces

The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions. The proof is based on an a priori estimate established in nonclassical function space...

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Main Author: Abdelfatah Bouziani
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202004507
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spelling doaj-f5d91cd0e4a14f3d899a45597d5e82822020-11-25T00:11:33ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130743544710.1155/S0161171202004507On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spacesAbdelfatah Bouziani0Département de Mathématiques, Centre Universitaire Larbi Ben M'hidi-Oum El Bouagui, B.P. 565, 04000, AlgeriaThe aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions. The proof is based on an a priori estimate established in nonclassical function spaces, and on the density of the range of the operator corresponding to the abstract formulation of the considered problem.http://dx.doi.org/10.1155/S0161171202004507
collection DOAJ
language English
format Article
sources DOAJ
author Abdelfatah Bouziani
spellingShingle Abdelfatah Bouziani
On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
International Journal of Mathematics and Mathematical Sciences
author_facet Abdelfatah Bouziani
author_sort Abdelfatah Bouziani
title On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
title_short On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
title_full On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
title_fullStr On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
title_full_unstemmed On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
title_sort on the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2002-01-01
description The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions. The proof is based on an a priori estimate established in nonclassical function spaces, and on the density of the range of the operator corresponding to the abstract formulation of the considered problem.
url http://dx.doi.org/10.1155/S0161171202004507
work_keys_str_mv AT abdelfatahbouziani onthesolvabilityofaclassofsingularparabolicequationswithnonlocalboundaryconditionsinnonclassicalfunctionspaces
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