A REACTION-DIFFUSION EQUATION ON STRATIFIED GROUPS

Jabbarkhanov K. Restrepo J.E. Suragan D.
September 2022 Springer

Journal of Mathematical Sciences (United States)
2022 #266 Issue 4 593 - 602 pp.

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.

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

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Department of Mathematics, Nazarbayev University, Astana, Kazakhstan

Department of Mathematics

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