Work

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

Year: 2025

Type: article

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).

Source: Nonlinear Analysis Real World Applications

DOI: 10.1016/j.nonrwa.2025.104434

Authors: Barbara Brandolini, Ida de Bonis, Vincenzo Ferone, Bruno Volzone

Institutions: University of Palermo, Sapienza University of Rome, University of Naples Federico II, Politecnico di Milano

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

OpenAlex ID: W4411724240

FWCI:

Cites: 33

Cited by:

Related to: 10