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19912026
most citedPeres-Horodecki separability criterion for continuous variable systems

2.2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2009 · math.APShow all

5 papers · 2 filters

math.AP2009★ 86 cited

Lack of uniqueness for weak solutions of the incompressible porous media equation

Diego Cordoba, Daniel Faraco, Francisco Gancedo

In this work we consider weak solutions of the incompressible 2-D porous media equation. By using the approach of De Lellis-Székelyhidi we prove non-uniqueness for solutions in $L^…

math.AP2009★ 1 cited

Regularity theory for the fractional harmonic oscillator

P. R. Stinga, J. L. Torrea

In this paper we develop the theory of Schauder estimates for the fractional harmonic oscillator , . More precisely, a new class of smooth functions $C^{k,…

math.AP2009★ 33 cited

Absence of squirt singularities for the multi-phase Muskat problem

Diego Cordoba, Francisco Gancedo

In this paper we study the evolution of multiple fluids with different constant densities in porous media. This physical scenario is known as the Muskat and the (multi-phase) Hele-…

math.AP2009★ 115 cited

Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities

Matteo Bonforte, Jean Dolbeault, Gabriele Grillo +1

The goal of this note is to state the optimal decay rate for solutions of the nonlinear fast diffusion equation and, in self-similar variables, the optimal convergence rates to Bar…

math.AP2009★ 10 cited

Numerical studies on the self-similar collapse of the alpha-patches problem

Ana M. Mancho

This paper studies the dynamical evolution of the alpha-patches problem expressed in self-similar variables. A numerical algorithm is proposed and these equations are numerically e…