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- A. Cabello2 profiles55 · h 50
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4 papers · 2 filters
On the existence of solutions for a parabolic-elliptic chemotaxis model with flux limitation and logistic source
Silvia Sastre-Gomez, J. Ignacio Tello
In this paper we study the existence of solutions of a parabolic-elliptic system of partial differential equations describing the behaviour of a biological species and a chemic…
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
Jiaohui Xu, Tomás Caraballo, José Valero
In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for dynamical systems generated b…
New results on biorthogonal families in cylindrical domains and controllability consequences
F. Ammar Khodja, A. Benabdallah, M. González-Burgos +2
In this article we consider moment problems equivalent to null controllability of some linear parabolic partial differential equations in space dimension higher than one. For these…
A delay nonlocal quasilinear Chafee-Infante problem: An approach via semigroup theory
Tomás Caraballo, A. N. Carvalho, Yessica Julio
In this work we study a dissipative one dimensional scalar parabolic problem with non-local nonlinear diffusion with delay. We consider the general situation in which the functions…