Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.12912 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915248627253248 |
|---|---|
| author | Ferrari, Fausto Giovagnoli, Davide Jesus, David |
| author_facet | Ferrari, Fausto Giovagnoli, Davide Jesus, David |
| contents | In this paper, we characterize the geometry of solutions to one-phase inhomogeneous fully nonlinear Stefan problem with flat free boundaries under a new nondegeneracy assumption. This continues the study of regularity of flat free boundaries for the linear inhomogeneous Stefan problem started in [9], as well as justifies the definition of flatness assumed in [15]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem Ferrari, Fausto Giovagnoli, Davide Jesus, David Analysis of PDEs 35R35, 35K55, 80A22 In this paper, we characterize the geometry of solutions to one-phase inhomogeneous fully nonlinear Stefan problem with flat free boundaries under a new nondegeneracy assumption. This continues the study of regularity of flat free boundaries for the linear inhomogeneous Stefan problem started in [9], as well as justifies the definition of flatness assumed in [15]. |
| title | On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem |
| topic | Analysis of PDEs 35R35, 35K55, 80A22 |
| url | https://arxiv.org/abs/2504.12912 |