Work

Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator

Year: 2025

Type: article

Abstract: ABSTRACT In this paper, we consider the asymptotic behavior of weak solutions for nonclassical nonautonomous diffusion equations with a delay operator in time‐dependent spaces when the nonlinear function satisfies subcritical exponent growth conditions, the delay operator contains some hereditary characteristics, and the external force . First, we prove the well‐posedness of solutions by using the Faedo–Galerkin approximation method. Then after a series of elaborate energy estimates and calculations, we establish the existence and regularity of pullback attractors in time‐dependent spaces and , respectively.

Source: Studies in Applied Mathematics

DOI: 10.1111/sapm.70039

Authors: Bin Yang, Yuming Qin, Alain Miranville, Ke Wang

Institutions: Inner Mongolia University of Science and Technology, Donghua University, Université Le Havre Normandie, Laboratoire de Mathématiques Appliquées du Havre

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G1558480099, G1684762491, G2667920330, G5086349285, G8515712232