On the solvability of parabolic and hyperbolic problems with a boundary integral condition
We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition. The proof uses a functional analysis method based on a priori estimates established in nonclassical function sp...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202005860 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549915283161088 |
|---|---|
| author | Abdelfatah Bouziani |
| author_facet | Abdelfatah Bouziani |
| author_sort | Abdelfatah Bouziani |
| collection | DOAJ |
| description | We prove the existence, uniqueness, and the continuous dependence
of a generalized solution upon the data of certain parabolic and
hyperbolic equations with a boundary integral condition. The proof
uses a functional analysis method based on a priori estimates
established in nonclassical function spaces, and on the
density of the range of the linear operator associated to the
abstract formulation of the studied problem. |
| format | Article |
| id | doaj-art-1b01dd332f934630a4f3f329db99d868 |
| 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-1b01dd332f934630a4f3f329db99d8682025-02-03T06:08:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0131420121310.1155/S0161171202005860On the solvability of parabolic and hyperbolic problems with a boundary integral conditionAbdelfatah Bouziani0Département de Mathématiques, Centre Universitaire Larbi Ben M'hidi-Oum El Bouagui, B.P. 565, 04000, AlgeriaWe prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition. The proof uses a functional analysis method based on a priori estimates established in nonclassical function spaces, and on the density of the range of the linear operator associated to the abstract formulation of the studied problem.http://dx.doi.org/10.1155/S0161171202005860 |
| spellingShingle | Abdelfatah Bouziani On the solvability of parabolic and hyperbolic problems with a boundary integral condition International Journal of Mathematics and Mathematical Sciences |
| title | On the solvability of parabolic and hyperbolic
problems with a boundary integral condition |
| title_full | On the solvability of parabolic and hyperbolic
problems with a boundary integral condition |
| title_fullStr | On the solvability of parabolic and hyperbolic
problems with a boundary integral condition |
| title_full_unstemmed | On the solvability of parabolic and hyperbolic
problems with a boundary integral condition |
| title_short | On the solvability of parabolic and hyperbolic
problems with a boundary integral condition |
| title_sort | on the solvability of parabolic and hyperbolic problems with a boundary integral condition |
| url | http://dx.doi.org/10.1155/S0161171202005860 |
| work_keys_str_mv | AT abdelfatahbouziani onthesolvabilityofparabolicandhyperbolicproblemswithaboundaryintegralcondition |