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Artículo
Compact bilinear commutators: the weighted case
(University of Michigan, 2015-03)
Commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillation are shown to be compact on appropriate products of weighted ...
Artículo
A pointwise estimate for the kernel of a pseudo-differential operator, with applications
(Unión Matemática Argentina, 1991)
Ponencia
Artículo
Time-shift invariance determines the functional shape of the current in dissipative rocking ratchets
(2013)
Ratchets are devices that are able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. In rocking ratchets, the asymmetry is induced through a proper choice of external forces and modulations ...
Artículo
The L(log L)e endpoint estimate for maximal singular integral operators
(Elsevier, 2015-08-01)
We prove in this paper the following estimate for the maximal operator T ∗ associated to the singular integral operator T: kT ∗ fkL 1,∞ (w) . 1 ǫ Z Rn | f(x)| ML(log L) ǫ (w)(x) dx, w ≥ 0, 0 < ǫ ≤ 1. This ...
Artículo
Analytical behavior of two-dimensional incompressible flow in porous media
(AIP Publishing (American Institute of Physics), 2007-06)
In this paper we study the analytic structure of a two-dimensional mass balance equation of an incompressible fluid in a porous medium given by Darcy’s law. We obtain local existence and uniqueness by the particle-trajectory ...
Artículo
The endpoint Fefferman-Stein inequality for the strong maximal function
(Elsevier, 2014-01-01)
Let Mnf denote the strong maximal function of f on Rn, that is the maximal average of f with respect to n-dimensional rectangles with sides parallel to the coordinate axes. For any dimension n > 2 we prove the natural ...
Artículo
Homogenization of Bingham flow in thin porous media
(AIMS, 2019-12-01)
By using dimension reduction and homogenization techniques, we study the steady flow of an incompresible viscoplastic Bingham fluid in a thin porous medium. A main feature of our study is the dependence of the yield stress ...
Artículo
Some generalizations of Kannan's fixed point theorem in K-metric spaces
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2012)
We extend some known fixed point results for mappings satisfying Kannan type conditions to the context of K-metric spaces. Firstly, we prove a common fixed point result for noncommuting maps. A generalization of Kannan’s ...
Artículo
Splash singularity for water waves
(National Academy of Sciences, 2012-01-17)
We exhibit smooth initial data for the two-dimensional (2D) waterwave equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result together with numerical ...