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Abdelfatah Bouziani, "On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations", Abstract and Applied Analysis, vol. 7, Article ID 840367, 14 pages, 2002. https://doi.org/10.1155/S1085337502206041
On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations
Abdelfatah Bouziani
1,21Département de Mathématiques, Centre Universitaire Larbi Ben M'hidi, Algeria
2Mathematical Division, The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, Italy
Abstract
We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.
Copyright
Copyright © 2002 Hindawi Publishing Corporation. 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.
