Laplacian with singular drift in a critical borderline case
Abstract We establish well‐posedness and regularity results for parabolic diffusion equation on the torus in the case when the singularities of a general drift reach the critical magnitude. The latter dictates the need to work in an Orlicz space situated between all and .
Authors
- Damir Kinzebulatov
Institutions
- Université Laval (CA)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2024-11-27
- DOI
- https://doi.org/10.1002/mana.202400098
- Citations
- 3
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 2.67
Funders
- Natural Sciences and Engineering Research Council of Canada