Work

On the modulus of continuity of solutions to nonlocal parabolic equations

Year: 2024

Type: article

Abstract: A general modulus of continuity is quantified for locally bounded, local, weak solutions to nonlocal parabolic equations, under a minimal tail condition. Hölder modulus of continuity is then deduced under a slightly stronger tail condition. These regularity estimates are demonstrated under the framework of nonlocal ‐Laplacian with measurable kernels.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.12985

Author: Naian Liao

Institution: University of Salzburg

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funder: Austrian Science Fund