Interpolation inequalities in pattern formation
In this seminar I will present some interpolation inequalities that involves the BV-norm and some negative norms of a function u. These inequalities are the strong version of some already known estimates in weak form, which play a crucial role in the study of pattern formation. The main ingredient i...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Bologna
2011-12-01
|
| Series: | Bruno Pini Mathematical Analysis Seminar |
| Online Access: | http://mathematicalanalysis.unibo.it/article/view/2666 |
| _version_ | 1811284362947198976 |
|---|---|
| author | Eleonora Cinti |
| author_facet | Eleonora Cinti |
| author_sort | Eleonora Cinti |
| collection | DOAJ |
| description | In this seminar I will present some interpolation inequalities that involves the BV-norm and some negative norms of a function u. These inequalities are the strong version of some already known estimates in weak form, which play a crucial role in the study of pattern formation. The main ingredient in the proof of these estimates is given by a geometric construction, that was first used by Choksi, Conti, Kohn and Otto in the context of branched patterns in superconductors, and which main idea goes back to De Giorgi. This is a joint work with Felix Otto. |
| first_indexed | 2024-04-13T02:27:40Z |
| format | Article |
| id | doaj.art-6b13a74c8a6a4da58ed371730ce77d9d |
| institution | Directory Open Access Journal |
| issn | 2240-2829 |
| language | English |
| last_indexed | 2024-04-13T02:27:40Z |
| publishDate | 2011-12-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Bruno Pini Mathematical Analysis Seminar |
| spelling | doaj.art-6b13a74c8a6a4da58ed371730ce77d9d2022-12-22T03:06:43ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292011-12-01212479Interpolation inequalities in pattern formationEleonora Cinti0Università di PaviaIn this seminar I will present some interpolation inequalities that involves the BV-norm and some negative norms of a function u. These inequalities are the strong version of some already known estimates in weak form, which play a crucial role in the study of pattern formation. The main ingredient in the proof of these estimates is given by a geometric construction, that was first used by Choksi, Conti, Kohn and Otto in the context of branched patterns in superconductors, and which main idea goes back to De Giorgi. This is a joint work with Felix Otto.http://mathematicalanalysis.unibo.it/article/view/2666 |
| spellingShingle | Eleonora Cinti Interpolation inequalities in pattern formation Bruno Pini Mathematical Analysis Seminar |
| title | Interpolation inequalities in pattern formation |
| title_full | Interpolation inequalities in pattern formation |
| title_fullStr | Interpolation inequalities in pattern formation |
| title_full_unstemmed | Interpolation inequalities in pattern formation |
| title_short | Interpolation inequalities in pattern formation |
| title_sort | interpolation inequalities in pattern formation |
| url | http://mathematicalanalysis.unibo.it/article/view/2666 |
| work_keys_str_mv | AT eleonoracinti interpolationinequalitiesinpatternformation |