12 citations · 38 across the 7 of their papers we have counts for
4 papers · 1 filter
Stability of non-monotone and backward waves for delay non-local reaction-diffusion equations
Abraham Solar
This paper deals with the stability of semi-wavefronts to the following delay non-local monostable equation: $\dot{v}(t,x) = Δv(t,x) - v(t,x) + \int_{\R^d}K(y)g(v(t-h,x-y))dy, x \i…
A simple approach to the wave uniqueness problem
Abraham Solar, Sergei Trofimchuk
We propose a new approach for proving uniqueness of semi-wavefronts in generally non-monotone monostable reaction-diffusion equations with distributed delay. This allows to solve a…
An iterative estimation for disturbances of semi-wavefronts to the delayed Fisher-KPP equation
Rafael Benguria D., Abraham Solar
We give an iterative method to estimate the disturbance of semi-wavefronts of the equation: where A…
An estimation of level sets for non local KPP equations with delay
Rafael Benguria, Abraham Solar
We study the large time asymptotic behavior of the solutions of the linear parabolic equation with delay : $u_{t}(t,x) = u_{xx}(t,x) - u(t,x) + \int_{\mathbb{R}} k(x-y) \, u (…