A REACTION-DIFFUSION EQUATION ON STRATIFIED GROUPS

Khumoyun Jabbarkhanov; Joel E. Restrepo; Durvudkhan Suragan

doi:10.1007/s10958-022-05965-y

A REACTION-DIFFUSION EQUATION ON STRATIFIED GROUPS

Khumoyun Jabbarkhanov, Joel E. Restrepo, Durvudkhan Suragan

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We study an extension of the classical Fisher-KPP equation to stratified groups. We show the positivity, boundedness, asymptotic time-behavior, and blow-up in finite time of solutions. These results are also discussed for the (time-fractional) Fisher-KPP equation by means of the Caputo time-fractional derivative.

Original language	English
Pages (from-to)	593-602
Number of pages	10
Journal	Journal of Mathematical Sciences (United States)
Volume	266
Issue number	4
DOIs	https://doi.org/10.1007/s10958-022-05965-y
Publication status	Published - Sept 2022

Keywords

35A01
35B44
Asymptotic behavior
Blow-up
Fisher-KPP equation
Global solution
Primary 35K55
Secondary 35K57
Stratified group

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/s10958-022-05965-y

Cite this

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abstract = "We study an extension of the classical Fisher-KPP equation to stratified groups. We show the positivity, boundedness, asymptotic time-behavior, and blow-up in finite time of solutions. These results are also discussed for the (time-fractional) Fisher-KPP equation by means of the Caputo time-fractional derivative.",

keywords = "35A01, 35B44, Asymptotic behavior, Blow-up, Fisher-KPP equation, Global solution, Primary 35K55, Secondary 35K57, Stratified group",

author = "Khumoyun Jabbarkhanov and Restrepo, {Joel E.} and Durvudkhan Suragan",

note = "Funding Information: This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09057887). The authors were also supported by the Nazarbayev University Program 091019CRP2120. Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

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AU - Suragan, Durvudkhan

N1 - Funding Information: This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09057887). The authors were also supported by the Nazarbayev University Program 091019CRP2120. Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

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N2 - We study an extension of the classical Fisher-KPP equation to stratified groups. We show the positivity, boundedness, asymptotic time-behavior, and blow-up in finite time of solutions. These results are also discussed for the (time-fractional) Fisher-KPP equation by means of the Caputo time-fractional derivative.

AB - We study an extension of the classical Fisher-KPP equation to stratified groups. We show the positivity, boundedness, asymptotic time-behavior, and blow-up in finite time of solutions. These results are also discussed for the (time-fractional) Fisher-KPP equation by means of the Caputo time-fractional derivative.

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KW - 35B44

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KW - Blow-up

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KW - Global solution

KW - Primary 35K55

KW - Secondary 35K57

KW - Stratified group

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A REACTION-DIFFUSION EQUATION ON STRATIFIED GROUPS

Abstract

Keywords

ASJC Scopus subject areas

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