On Asymptotically Almost Periodic Solutions of the parabolic-elliptic Keller-Segel system on real hyperbolic Manifolds

Autor:	Xuan, Pham Truong, Van Thuy, Tran, Van, Nguyen Thi
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Mathematics - Dynamical Systems Mathematics - Functional Analysis
Zdroj:	Dynamical Systems: An international journal, 2024
Druh dokumentu:	Working Paper
DOI:	10.1080/14689367.2024.2360204.
Popis:	In this article we investigate the existence, uniqueness and exponential decay of asymptotically almost periodic solutions of the parabolic-elliptic Keller-Segel system on a real hyperbolic manifold. We prove the existence and uniqueness of such solutions in the linear equation case by using the dispersive and smoothing estimates of the heat semigroup. Then we pass to the well-posedness of semi-linear equation case by using the results of linear equation and fixed point arguments. The exponential decay is proven by using Gronwall's inequality. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.06492 Zobrazit plný text záznamu View this record from Arxiv