3 papers
math.AP2022
Polynomial Complex Ginzburg-Landau equations in almost periodic spaces
Agustin Besteiro
We consider Complex Ginzburg-Landau equations with a polynomial nonlinearity in the real line. We use splitting-methods to prove well-posedness for a subset of almost periodic spac…
math.AP2018
Existence of Peregrine Solitons in fractional reaction-diffusion equations
Agustín Besteiro, Diego Rial
In this article, we will analyze the existence of Peregrine type solutions for the fractional diffusion reaction equation by applying Splitting-type methods. These functions that h…
math.AP2018
Global existence for vector valued fractional reaction-diffusion equations
Agustín Besteiro, Diego Rial
In this paper, we study the initial value problem for infinite dimensional fractional non-autonomous reaction-diffusion equations. Applying general time-splitting methods, we prove…