Comparison results for the fractional heat equation with a singular lower order term
- Autori: Barbara Brandolini; Ida De Bonis; Vincenzo Ferone; Bruno Volzone
- Anno di pubblicazione: 2025
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/684283
Abstract
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⊂R𝑁 (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).