Abraham Solar

activity

20142021

most citedAsymptotic convergence to pushed wavefronts in a monostable equation with delayed reaction

12 citations · 38 across the 7 of their papers we have counts for

collaborators

Showing 2018 · math.APShow all

3 papers · 2 filters

math.AP2018

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…

math.AP2018

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: $u ˙ (t, x) = u^{''} (t, x) + u (t, x) (1 - u (t - h, x)),$ $x \in R, t > 0;$ where $h > 0.$ A…

math.AP2018★ 5 cited

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 (…