Abstract
In this paper, we consider the Fisher–KPP equation on the Heisenberg group. We discuss the existence of global solutions, asymptotic behavior of global solutions and blow-up solutions. Moreover, we extend the obtained results to the time-fractional Fisher–KPP equation on the Heisenberg group.
| Original language | English |
|---|---|
| Pages (from-to) | 2395-2403 |
| Number of pages | 9 |
| Journal | Mathematische Nachrichten |
| Volume | 296 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 2023 |
Funding
This research was funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. OP11466188). A. Kashkynbayev was supported in part by NU FDCRG N09118FD5353. D. Suragan is supported by the NU Program 091019CRP2120. The research of B. Torebek is financially supported by the FWO Odysseus 1 grant G.0H94.18N: Analysis and Partial Differential Equations and by a grant No.AP08052046 from the Ministry of Science and Education of the Republic of Kazakhstan. No new data were collected or generated during the course of research.
Keywords
- blow-up
- Fisher–KPP equation
- global existence
- Heisenberg group
ASJC Scopus subject areas
- General Mathematics