Weighted Lojasiewicz inequalities and regularity of harmonic map flow
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913786422624256 |
|---|---|
| author | Waldron, Alex |
| author_facet | Waldron, Alex |
| contents | At a finite-time singularity of harmonic map flow in the critical dimension, we show that a Lojasiewicz inequality between the quantities appearing in Struwe's monotonicity formula implies continuity of the body map and the no-neck property for bubble-tree decompositions. We prove such an inequality when the target is $S^2,$ yielding both properties in this case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07054 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted Lojasiewicz inequalities and regularity of harmonic map flow Waldron, Alex Differential Geometry Analysis of PDEs At a finite-time singularity of harmonic map flow in the critical dimension, we show that a Lojasiewicz inequality between the quantities appearing in Struwe's monotonicity formula implies continuity of the body map and the no-neck property for bubble-tree decompositions. We prove such an inequality when the target is $S^2,$ yielding both properties in this case. |
| title | Weighted Lojasiewicz inequalities and regularity of harmonic map flow |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2504.07054 |