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| dc.contributor.advisor | Sabra, Ahmad |
| dc.contributor.author | Lahoud, Jolie |
| dc.date.accessioned | 2024-05-08T05:20:12Z |
| dc.date.available | 2024-05-08T05:20:12Z |
| dc.date.issued | 2024-05-08 |
| dc.date.submitted | 2024-05-01 |
| dc.identifier.uri | http://hdl.handle.net/10938/24407 |
| dc.description.abstract | For a given continuous function g defined on the boundary of Ω where Ω is a bounded lipschitz domain in ℝ𝑛satisfying some conditions, we consider proving the existence of a function u in the space of BV(Ω) that is equal to g on the boundary in the trace sense, and the total variation of its distributional derivative evaluated over Ω is minimal among all such functions,in addition to proving uniqueness when u belongs to BV(Ω)∩C(Ω̅).The exposition go deeply in the study of BV theory and sets of finite perimeter. |
| dc.language.iso | en |
| dc.subject | Mathematics |
| dc.title | Least Gradient Problem |
| dc.type | Thesis |
| dc.contributor.department | Department of Mathematics |
| dc.contributor.faculty | Faculty of Arts and Sciences |
| dc.contributor.commembers | Abi khuzam, Faruk |
| dc.contributor.commembers | Shayya, Bassam |
| dc.contributor.degree | MS |
| dc.contributor.AUBidnumber | 202372134 |
