Now showing items 1-10 of 23
Invariant means and thin sets in harmonic analysis with applications to prime numbers [Article]
We first prove a localization principle characterising Lust-Piquard sets. We obtain that the union of two Lust-Piquard sets is a Lust-Piquard set, provided that one of these two sets is closed for the Bohr topology. We ...
Incompressible flow in porous media with fractional diffusion [Article]
(IOP Publishing, 2009-08)
In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcy’s law. We show formation of singularities with infinite energy and for finite ...
Interface evolution: the Hele-Shaw and Muskat problems [Article]
(Princeton University, 2011)
We study the dynamics of the interface between two incompressible 2-D flows where the evolution equation is obtained from Darcy’s law. The free boundary is given by the discontinuity among the densities and viscosities of ...
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces [Article]
(National Academy of Sciences, 2009-07-07)
For the free boundary dynamics of the two-phase Hele-Shaw and Muskat problems, and also for the irrotational incompressible Euler equation, we prove existence locally in time when the Rayleigh-Taylor condition is initially ...
Limit relations between q-Krall type orthogonal polynomials [Article]
In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification of a q-classical linear functional via the addition of one or two mass points. The limit relations ...
Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture [Article]
We prove two-weight norm inequalities for Calderón-Zygmund singular integrals that are sharp for the Hilbert transform and for the Riesz transforms. In addition, we give results for the dyadic square function and for ...
Thin sets of integers in Harmonic analysis and p-stable random Fourier series [Article]
We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces Gaussian or Rademacher variables by p-stable ones, with 1 < p < 2. We show that in one case this ...
Nevanlinna counting function and Carleson function of analytic maps [Article]
We show that the maximal Nevanlinna counting function and the Carleson function of analytic self-maps of the unit disk are equivalent, up to constants.
A continuation method for weakly Kannan maps [Article]
The first continuation method for contractive maps in the setting of a metric space was given by Granas. Later, Frigon extended Granas theorem to the class of weakly contractive maps, and recently Agarwal and O’Regan have ...
Existence for the α-patch model and the QG sharp front in Sobolev spaces [Article]
We consider a family of contour dynamics equations depending on a parameter α with 0<α⩽1. The vortex patch problem of the 2-D Euler equation is obtained taking α→0, and the case α=1 corresponds to a sharp front of the QG ...