Affiliation:
1. Department of Mathematics Nazarbayev University Qabanbay Batyr Ave 53, Astana 010000 Kazakhstan
Abstract
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 ‐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 ‐Laplacian.
Subject
General Engineering,General Mathematics
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