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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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202004507 |
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| _version_ | 1832568329325248512 |
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| author | Abdelfatah Bouziani |
| author_facet | Abdelfatah Bouziani |
| author_sort | Abdelfatah Bouziani |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f5d91cd0e4a14f3d899a45597d5e8282 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f5d91cd0e4a14f3d899a45597d5e82822025-02-03T00:59:23ZengWileyInternational 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/S0161171202004507 |
| work_keys_str_mv | AT abdelfatahbouziani onthesolvabilityofaclassofsingularparabolicequationswithnonlocalboundaryconditionsinnonclassicalfunctionspaces |