Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.07631 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918309233950720 |
|---|---|
| author | Ficola, Eleonora Schmidt, Thomas |
| author_facet | Ficola, Eleonora Schmidt, Thomas |
| contents | We study the minimization of anisotropic total variation functionals with additional measure terms among functions of bounded variation subject to a Dirichlet boundary condition. More specifically, we identify and characterize certain isoperimetric conditions, which prove to be sharp assumptions on the signed measure data in connection with semicontinuity, existence, and relaxation results. Furthermore, we present a variety of examples which elucidate our assumptions and results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07631 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lower semicontinuity and existence results for anisotropic TV functionals with signed measure data Ficola, Eleonora Schmidt, Thomas Analysis of PDEs 49J45, 35R06, 35J20, 26B30 We study the minimization of anisotropic total variation functionals with additional measure terms among functions of bounded variation subject to a Dirichlet boundary condition. More specifically, we identify and characterize certain isoperimetric conditions, which prove to be sharp assumptions on the signed measure data in connection with semicontinuity, existence, and relaxation results. Furthermore, we present a variety of examples which elucidate our assumptions and results. |
| title | Lower semicontinuity and existence results for anisotropic TV functionals with signed measure data |
| topic | Analysis of PDEs 49J45, 35R06, 35J20, 26B30 |
| url | https://arxiv.org/abs/2404.07631 |