Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Gonzalo Galiano"'
Autor:
Gonzalo Galiano
Publikováno v:
Opuscula Mathematica, Vol 44, Iss 5, Pp 707-726 (2024)
We deduce isoperimetric estimates for solutions of linear stationary and evolution problems. Our main result establishes the comparison in norm between the solution of a problem and its symmetric version when nonlocal diffusion defined through integr
Externí odkaz:
https://doaj.org/article/2080743bbf2b440e8a46b1186cfe98ff
Publikováno v:
Electronic Journal of Differential Equations, Vol 2021, Iss 55,, Pp 1-17 (2021)
Externí odkaz:
https://doaj.org/article/056f6eb564b943e2aedd348dfbd8e663
Autor:
Gonzalo Galiano
Publikováno v:
Computers & Mathematics with Applications. 103:40-52
We study three numerical approximations of solutions of nonlocal diffusion evolution problems which are inspired in algorithms for computing the bilateral denoising filtering of an image, and which are based on functional rearrangements and on the Fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::966af71cc581c674f800fe36adf823fc
https://doi.org/10.1016/j.camwa.2021.10.023
https://doi.org/10.1016/j.camwa.2021.10.023
Autor:
Gonzalo Galiano, Julián Velasco
Publikováno v:
SIAM Journal on Mathematical Analysis. 51:2884-2902
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 approximation, of the paradigmatic Shigesada-Kawasaki-Teramoto cross-di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::535b2539f0480471aa73f1c0f1f11172
https://doi.org/10.1137/18m1229249
https://doi.org/10.1137/18m1229249
Autor:
Gonzalo Galiano, Julián Velasco
Publikováno v:
Scopus
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 nonlocal cross-diffusion problem converges to a solution of the u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80f419a02f62431889834a80b15c087d
Autor:
Gonzalo Galiano, Julián Velasco
Publikováno v:
Computers & Mathematics with Applications. 76:984-996
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 solutions of the time-independent problem with fidelity terms under mild c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53e611d6885dc146144eebe2af9016e1
https://doi.org/10.1016/j.camwa.2018.05.035
https://doi.org/10.1016/j.camwa.2018.05.035
Autor:
Gonzalo Galiano, Gonzalo F. de-Córdoba
We study an evolution cross-diffusion problem with mutualistic Lotka-Volterra reaction term to modelize the long-term spatial distribution of labor and capital. The mutualistic behavior is deduced from the gradient flow associated to profits maximiza
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0560f82c78040215360c564abff7b444
http://arxiv.org/abs/1905.04008
http://arxiv.org/abs/1905.04008
Publikováno v:
Nonlinear Analysis: Real World Applications. 32:74-90
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 solution. A dimensional reduction of the problem is obtained and a detai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::caefa8bf07b88f563252a8b02537f08e
https://doi.org/10.1016/j.nonrwa.2016.03.013
https://doi.org/10.1016/j.nonrwa.2016.03.013
Autor:
Gonzalo Galiano
We prove the well-posedness of a general evolution reaction–nonlocal diffusion problem under two sets of assumptions. In the first set, the main hypothesis is the Lipschitz continuity of the range kernel and the bounded variation of the spatial ker
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5dd3b7f0ed19e76485546c8d52752488
http://arxiv.org/abs/1803.07796
http://arxiv.org/abs/1803.07796
Autor:
Julián Velasco, Gonzalo Galiano
Publikováno v:
Mathematics and Computers in Simulation. 118:213-223
In previous works, we investigated the use of local filters based on partial differential equations (PDE) to denoise one-dimensional signals through the image processing of time-frequency representations, such as the spectrogram. In these image denoi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d52605cc37fd6eeaf38a81efcac0cc2
https://doi.org/10.1016/j.matcom.2014.11.020
https://doi.org/10.1016/j.matcom.2014.11.020