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).

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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
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article

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

Ida de Bonis, Barbara Brandolini, Bruno Volzone, Vincenzo Ferone
Nonlinear Analysis Real World Applications
Numerical methods in inverse problems
article

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

Ida de Bonis, Barbara Brandolini, Bruno Volzone, Vincenzo Ferone
article en

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 ⊂ 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).

Nonlinear Analysis Real World ApplicationsVol. 87
University of Naples Federico II (IT), Sapienza University of Rome (IT), University of Palermo (IT), Politecnico di Milano (IT)
Openalex Percentile: Top 79%
Numerical methods in inverse problems
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Comparison results for the fractional heat equation with a singular lower order term — Ida de Bonis, Barbara Brandolini, et al. · Nonlinear Analysis Real World Applications (2025) | TGRS Research Map | TGRS