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Artículo
Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2019-02)
In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional fractional Brownian motion. We consider the cases in which the ...
Artículo
The limit of Dirichlet systems for variable monotone operators in general perforated domains
(Elsevier, 2001-11-15)
We study the asymptotic behaviour of the solutions of nonlinear Dirichlet systems when the operators and the open sets where they are posed vary simultaneously. We obtain a representation of the limit problem and we prove ...
Artículo
Existence and uniqueness of positive large solutions to some cooperative elliptic systems
(De Gruyter, 2003-05)
In this work we consider positive solutions to cooperative elliptic systems of the form −∆u = λu−u2 +buv, −∆v = µv −v2 +cuv in a bounded smooth domain Ω ⊂ RN (λ, µ ∈ R, b, c > 0) which blow up on the boundary ∂Ω, that is ...
Artículo
H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation
(2010)
We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H2-boundedness of invariant sets for an evolution process. Then, as a consequence, we ...
Artículo
Exact controllability to the trajectories for parabolic PDEs with nonlocal nonlinearities
(Springer, 2019-09)
This paper deals with the analysis of the internal control of a parabolic PDE with nonlinear diffusion, nonlocal in space. In our main result, we prove the local exact controllability to the trajectories with distributed ...
Artículo
A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes
(Springer, 2021-12-10)
We consider the following repulsive-productive chemotaxis model: find 0, the cell density, and 0, the chemical concentration, satisfying 0 in 0 in 0 (1) with 1 2 , a bounded domain ( 1 2 3), endowed with non-flux boundary ...
Artículo
Remarks on the controllability of some parabolic equations and systems
(Sociedad Española de Matemática Aplicada, 2006)
We present a review of recent results concerning the null controllability of parabolic systems. Among others, we will consider the heat equation, the Burgers, Navier-Stokes and Ginzburg-Landau equations, etc. We will also ...
Artículo
Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains
(Cambrigde Core, 2020-11-05)
This paper is concerned with the asymptotic behavior of solutions to a class of non-autonomous stochastic nonlinear wave equations with dispersive and viscosity dissipative terms driven by operator-type noise defined on ...
Artículo
Informational structures: A dynamical system approach for integrated information
(Public Library of Science, 2018-09-13)
Integrated Information Theory (IIT) has become nowadays the most sensible general theory of consciousness. In addition to very important statements, it opens the door for an abstract (mathematical) formulation of the theory. ...
Artículo
Some Results on Stochastic Differential Equations with Reflecting Boundary Conditions
(Springer Verlag (Germany), 2004)
Some results related to stochastic differential equations with reflecting boundary conditions (SDER) are obtained. Existence and uniqueness of strong solution is ensured under the relaxation on the drift coefficient (instead ...