most citedThe evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

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math.AP2024

A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem

David John Needham, John Christopher Meyer

This note establishes sharp time-asymptotic algebraic rate bounds for the classical evolution problem of Fujita, but with sublinear rather than superlinear exponent. A transitional…

math.AP2023★ 1 cited

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

D. J. Needham, J. Billingham, N. M. Ladas +1

We study the Cauchy problem on the real line for the nonlocal Fisher-KPP equation in one spatial dimension, \[ u_t = D u_{xx} + u(1-ϕ*u), \] where is a spatial convolution wi…