Work

Periodic-parabolic logistic equation with mixed local and nonlocal diffusion

Year: 2026

Type: article

Abstract: This work investigates a class of periodic-parabolic nonlocal operators and their application to nonlinear evolution problems. We present a characterization of the Maximum Principle in terms of the spectral properties of the associated operator, and we analyze the approximation of its principal eigenvalue using the theory of evolution systems. As an application, we establish the existence and uniqueness of a positive solution for the logistic equation driven by this nonlocal operator. In addition, we derive several results regarding the blow-up phenomenon.

Source: Journal of Evolution Equations

DOI: 10.1007/s00028-026-01243-5

Authors: Ismael Oliveira dos Anjos, Willian Cintra, Mirelson M. Freitas, Jian-Wen Sun

Institutions: Universidade de Brasília, Lanzhou University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico