Abraham Solar

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math.AP2021

Wavefront's stability with asymptotic phase in the delayed monostable equations

Abraham Solar, Sergei Trofimchuk

We extend the class of initial conditions for scalar delayed reaction-diffusion equations $u_{t} (t, x) = u_{xx} (t, x) + f (u (t, x), u (t - h, x))$ which evolve in solutions converging to mono…

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…