Dynamic of the nonclassical diffusion equation with memory

Abstract In this paper, we consider the nonclassical diffusion equation with memory and the nonlinearity of the polynomial growth condition of arbitrary order in the time-dependent space. First, the well-posedness of the solution for the equation is obtained in the time-dependent space U t $\mathscr...

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Bibliographic Details
Main Authors: Jing Wang, Qiaozhen Ma, Wenxue Zhou, Xiaobin Yao
Format: Article
Language:English
Published: SpringerOpen 2023-08-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-023-01767-6