Comparison results for the fractional heat equation with a singular lower order term
We provide symmetrization results in the form of mass concentration comparisons for fractional singular parabolic equations in infinite cylinders of the type Ω × ( 0 , T ) , where Ω ⊂ R N ( N ≥ 2 ) is a bounded, open set with Lipschitz boundary, and T > 0 . The fundamental ingredients of the proof are an implicit time discretization procedure and a max/min argument, previously applied to nonlocal elliptic problems in the recent paper Brandolini et al. (2023).
Authors
- Ida de Bonis
- Barbara Brandolini
- Bruno Volzone (ORCID: https://orcid.org/0000-0001-8028-2017)
- Vincenzo Ferone (ORCID: https://orcid.org/0000-0003-0997-8390)
Institutions
- University of Naples Federico II (IT)
- Sapienza University of Rome (IT)
- University of Palermo (IT)
- Politecnico di Milano (IT)
Publication Details
- Journal
- Nonlinear Analysis Real World Applications
- Published
- 2025-06-27
- DOI
- https://doi.org/10.1016/j.nonrwa.2025.104434
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00