Szczegóły publikacji
Opis bibliograficzny
Global existence and blow-up solutions for a parabolic equation with critical nonlocal interactions / Jian Zhang, Vicenţiu D. RǍDULESCU, Minbo Yang, Jiazheng Zhou // Journal of Dynamics and Differential Equations ; ISSN 1040-7294 . — 2025 — vol. 37 iss. 1, s. 687–725. — Bibliogr. s. 724–725, Abstr. — Publikacja dostępna online od: 2023-06-15. — V. D. Rǎdulescu - dod. afiliacja: Department of Mathematics, Zhejiang Normal University, Zhejiang, People’s Republic of China; Department of Mathematics, University of Craiova, Romania; Faculty of Electrical Engineering and Communication, Brno University of Technology, Brno, Czech Republic
Autorzy (4)
- Zhang Jian
- AGHRǎdulescu Vicenţiu
- Yang Minbo
- Zhou Jiazheng
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 161003 |
|---|---|
| Data dodania do BaDAP | 2025-07-16 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s10884-023-10278-y |
| Rok publikacji | 2025 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Journal of Dynamics and Differential Equations |
Abstract
In this paper, we study the initial boundary value problem for the nonlocal parabolic equation with the Hardy–Littlewood–Sobolev critical exponent on a bounded domain. We are concerned with the long time behaviors of solutions when the initial energy is low, critical or high. More precisely, by using the modified potential well method, we obtain global existence and blow-up of solutions when the initial energy is low or critical, and it is proved that the global solutions are classical. Moreover, we obtain an upper bound of blow-up time for Jμ(u0)<0 and decay rate of H01 and L2-norm of the global solutions. When the initial energy is high, we derive some sufficient conditions for global existence and blow-up of solutions. In addition, we are going to consider the asymptotic behavior of global solutions, which is similar to the Palais-Smale (PS for short) sequence of stationary equation.
