most citedPeres-Horodecki separability criterion for continuous variable systems

2.2k citations

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

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Showing 2010 · math.APShow all

8 papers · 2 filters

math.AP2010

Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations

Kari Astala, Albert Clop, Daniel Faraco +2

We settle the problem of the uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations . It turns out that the uniquene…

math.AP2010★ 1 cited

Behaviour near extinction for the Fast Diffusion Equation on bounded domains

Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez

We consider the Fast Diffusion Equation posed in a bounded smooth domain $Ω\subset \RR^d$ with homogeneous Dirichlet conditions; the exponent range is $m_s=(d-2)_+/(d+2)…

math.AP2010★ 22 cited

Turning waves and breakdown for incompressible flows

Angel Castro, Diego Cordoba, Charles Fefferman +2

We consider the evolution of an interface generated between two immiscible incompressible and irrotational fluids. Specifically we study the Muskat and water wave problems. We show…

math.AP2010

Optimal bounds for self-similar solutions to coagulation equations with product kernel

Barbara Niethammer, Juan J. L. Velazquez

We consider mass-conserving self-similar solutions of Smoluchowski's coagulation equation with multiplicative kernel of homogeneity . We establish rigorously that suc…

math.AP2010

Dispersive Properties for Discrete Schrodinger Equations

L. I. Ignat, D. Stan

In this paper we prove dispersive estimates for the system formed by two coupled discrete Schrödinger equations. We obtain estimates for the resolvent of the discrete operator and…

math.AP2010★ 139 cited

On the global existence for the Muskat problem

Peter Constantin, Diego Cordoba, Francisco Gancedo +1

The Muskat problem models the dynamics of the interface between two incompressible immiscible fluids with different constant densities. In this work we prove three results. First w…

math.AP2010★ 49 cited

Singularity Formation in a Surface Wave Model

Angel Castro, Diego Cordoba, Francisco Gancedo

In this paper we study the Burgers equation with a nonlocal term of the form where is the Hilbert transform. This system has been considered as a quadratic approximation f…

math.AP2010★ 165 cited

Nonlinear porous medium flow with fractional potential pressure

Luis A. Caffarelli, Juan L. Vazquez

We study a porous medium equation, with nonlocal diffusion effects given by an inverse fractional Laplacian operator. We pose the problem in n-dimensional space for all t>0 with bo…