We provide symmetrization results in the form of mass concentration comparisons for fractional singular parabolic equations in infinite cylinders of the type Omega x(0,T), where Omega subset of 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).

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. - (2025).

Comparison results for the fractional heat equation with a singular lower order term

Barbara Brandolini;Ida de Bonis;Bruno Volzone
2025

Abstract

We provide symmetrization results in the form of mass concentration comparisons for fractional singular parabolic equations in infinite cylinders of the type Omega x(0,T), where Omega subset of 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).
2025
fractional Laplacian; heat equation; symmetrization
01 Pubblicazione su rivista::01a Articolo in rivista
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. - (2025).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1752115
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