On Fishers equation with the fractional p -Laplacian
Jabbarkhanov K. Suragan D.
August 2023John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2023#46Issue 1212886 - 12894 pp.
In the present note, we show that if the initial date is between zero and one, then the global solution of a Dirichlet Fisher-KPP equation with the fractional (Figure presented.) -Laplacian is also between zero and one. As a consequence, a large-time behavior of the global solution is discussed. In addition, some blow-up results including a general Lipschitz nonlinearity are given. The proofs mainly rely on special symmetry and invariance properties of the fractional (Figure presented.) -Laplacian.
blow-up solution , fractional -Laplacian , fractional Fisher-KPP equation , fractional Poincaré inequality
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Department of Mathematics, Nazarbayev University, Qabanbay Batyr Ave 53, Astana, 010000, Kazakhstan
Department of Mathematics
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