Least Gradient Problem
| dc.contributor.advisor | Sabra, Ahmad | |
| dc.contributor.author | Lahoud, Jolie | |
| dc.contributor.commembers | Abi khuzam, Faruk | |
| dc.contributor.commembers | Shayya, Bassam | |
| dc.contributor.degree | MS | |
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.faculty | Faculty of Arts and Sciences | |
| dc.contributor.institution | American University of Beirut | |
| dc.date | 2024 | |
| dc.date.accessioned | 2024-05-08T05:20:12Z | |
| dc.date.available | 2024-05-08T05:20:12Z | |
| dc.date.issued | 2024-05-07T21:00:00Z | |
| dc.date.submitted | 2024-04-30T21:00:00Z | |
| 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.identifier.uri | http://hdl.handle.net/10938/24407 | |
| dc.language.iso | en | |
| dc.subject | Mathematics | |
| dc.title | Least Gradient Problem | |
| dc.type | Thesis | |
| local.AUBID | 202372134 |
Files
Original bundle
1 - 3 of 3
Loading...
- Name:
- LahoudJolie_2024.pdf
- Size:
- 693.14 KB
- Format:
- Adobe Portable Document Format
- Description:
- Main Thesis
Loading...
- Name:
- LahoudJolie_ApprovalForm_2024.pdf
- Size:
- 431.42 KB
- Format:
- Adobe Portable Document Format
- Description:
- Approval Form
Loading...
- Name:
- LahoudJolie_ReleaseForm_2024.pdf
- Size:
- 579.6 KB
- Format:
- Adobe Portable Document Format
- Description:
- Release Form
License bundle
1 - 1 of 1
Loading...
- Name:
- license.txt
- Size:
- 1.65 KB
- Format:
- Item-specific license agreed upon to submission
- Description: