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).
Comparison results for the fractional heat equation with a singular lower order term / Brandolini, Barbara; De Bonis, Ida; Ferone, Vincenzo; Volzone, Bruno. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - 87:(2026). [10.1016/j.nonrwa.2025.104434]
Comparison results for the fractional heat equation with a singular lower order term
Ferone, Vincenzo
;
2026
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).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
