Inverse source problems for lineair parabolic equation
| dc.contributor.author | LAKHDARI, Abd elbasset | |
| dc.contributor.author | MIHOUBI, Farid: Supervisor | |
| dc.date.accessioned | 2024-07-15T13:10:53Z | |
| dc.date.available | 2024-07-15T13:10:53Z | |
| dc.date.issued | 2024-06 | |
| dc.description.abstract | In the present work , we study two classes of inverse problems for diffusion equation with source term, where the partial derivative is fractional in the time. The from of EDP problems are called sub-diffusion problems. The first investigation is devoted to the determination of the source term coefficient dependent on time of an inverse source problem with non-local boundary conditions and integral condition. We establish results of existence, uniquenss and continuous dependence data.Tools used for demonstration are based on one hand , the Fourier method for bi-orthogonal systems , the operator being not self-adjoint , in author hand the fixed point theory. The scend investigation is devoted to determination of source term coefficient dependent on the space for sub-diffusion problem with homogeneous boundary conditions and an initial weighted condition. For direct problem , the key point in our analysis is the use of Duhamel principle in addition Fourier method , to show existence, uniquenss of weak solution, then the question of regularity is treated. to determine a unique coefficient, we add an integral condition to introduce input output mapping. The inverse problem is reduces to the problem of ineversibility of the input output mapping,which shoud be monotone and it’s invers is bijectif | |
| dc.identifier.uri | https://dspace.univ-msila.dz/handle/123456789/43807 | |
| dc.language.iso | en | |
| dc.publisher | MOHAMED BOUDIAF UNIVERSITY -M’SILA | |
| dc.subject | Inverse source | |
| dc.subject | problems | |
| dc.subject | lineair parabolic equation | |
| dc.title | Inverse source problems for lineair parabolic equation | |
| dc.type | Thesis |