10 citations · 12 across the 2 of their papers we have counts for
6 papers
Bifurcation in dynamic problems with seasonal succession
Gonzalo Galiano, Julián Velasco
We investigate the bifurcation structure of equilibria in a class of non-autonomous ordinary differential equations governed by a season length parameter, , which determines the…
Convergence of solutions of a rescaled evolution nonlocal cross-diffusion problem to its local diffusion counterpart
Gonzalo Galiano, Julián Velasco
We prove that, under a suitable rescaling of the integrable kernel defining the nonlocal diffusion terms, the corresponding sequence of solutions of the Shigesada-Kawasaki-Teramoto…
Well-posedness of a cross-diffusion population model with nonlocal diffusion
Gonzalo Galiano, Julián Velasco
We prove the existence and uniqueness of solution of a nonlocal cross-diffusion competitive population model for two species. The model may be considered as a version, or even an a…
On a cross-diffusion system arising in image denosing
Gonzalo Galiano, Julián Velasco
We study a generalization of a cross-diffusion problem deduced from a nonlinear complex-variable diffusion model for signal and image denoising. We prove the existence of weak solu…
Well-posedness of a nonlinear integro-differential problem and its rearranged formulation
Gonzalo Galiano, Emanuele Schiavi, Julián Velasco
We study the existence and uniqueness of solutions of a nonlinear integro-differential problem which we reformulate introducing the notion of the decreasing rearrangement of the so…
On a fast bilateral filtering formulation using functional rearrangements
Gonzalo Galiano, Julián Velasco
We introduce an exact reformulation of a broad class of neighborhood filters, among which the bilateral filters, in terms of two functional rearrangements: the decreasing and the r…