Institute of Mathematical Sciences

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19912026

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 2014 · math.APShow all

13 papers · 2 filters

math.AP2014

A stable self-similar singularity of evaporating drops: ellipsoidal collapse to a point

Marco A. Fontelos, Seok Hyun Hong, Hyung Ju Hwang

We study the problem of evaporating drops contracting to a point. Going back to Maxwell and Langmuir, the existence of a spherical solution for which evaporating drops collapse to…

math.AP2014★ 95 cited

Global uniqueness for the Calderón problem with Lipschitz conductivities

Pedro Caro, Keith Rogers

We prove uniqueness for Calderón's problem with Lipschitz conductivities in higher dimensions. Combined with the recent work of Haberman, who treated the three and four dimensional…

math.AP2014★ 7 cited

Obstructions to the existence of limiting Carleman weights

Pablo Angulo-Ardoy, Daniel Faraco, Luis Guijarro +1

We give a necessary condition for a Riemannian manifold to admit limiting Carleman weights in terms of the Weyl tensor (in dimensions 4 and higher) and the Cotton-York tensor in di…

math.AP2014

Stability of inverse problems in an infinite slab with partial data

Pedro Caro, Kaloyan Marinov

In this paper, we study the stability of two inverse boundary value problems in an infinite slab with partial data. These problems have been studied by Li and Uhlmann for the case…

math.AP2014★ 5 cited

On the $L^{p}$ -Poisson semigroup associated with elliptic systems

José María Martell, Dorina Mitrea, Irina Mitrea +1

We study the infinitesimal generator of the Poisson semigroup in $L^{p}$ associated with homogeneous, second-order, strongly elliptic systems with constant complex coefficients in th…

math.AP2014

Large time behavior for the fast diffusion equation with critical absorption

Said Benachour, Razvan Gabriel Iagar, Philippe Laurencot

We study the large time behavior of nonnegative solutions to the Cauchy problem for a fast diffusion equation with critical zero order absorption $$ \partial_{t}u-Δu^m+u^q=0 \quad…

math.AP2014★ 1 cited

Non-splat singularity for the one-phase Muskat problem

Diego Córdoba, Tania Pernas-Castaño

For the water waves equations, the existence of splat singularities has been shown in [3], i.e., the interface self-intersects along an arc in finite time. The aim of this paper is…

math.AP2014★ 34 cited

Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions

Steve Hofmann, Jose Maria Martell, Svitlana Mayboroda

Let $E \subset R^{n + 1}$ , $n \geq 2$ , be a uniformly rectifiable set of dimension $n$ . Then bounded harmonic functions in $Ω := R^{n + 1} ∖ E$ satisfy Carleson me…

math.AP2014

Positive solutions to some systems of coupled nonlinear Schrödinger equations

Eduardo Colorado

We study the existence of nontrivial bound state solutions to the following system of coupled nonlinear time-independent Schrödinger equations $$ - Δu_j+ λ_j u_j =μ_j u_j^3+ \sum_{…

math.AP2014★ 68 cited

Fully nonlinear long-waves models in presence of vorticity

Angel Castro, David Lannes

We study here Green-Naghdi type equations (also called fully nonlinear Boussinesq, or Serre equations) modeling the propagation of large amplitude waves in shallow water. The novel…

math.AP2014★ 35 cited

Time decay of scaling invariant Schroedinger equations on the plane

L. Fanelli, V. Felli, M. Fontelos +1

We prove the sharp L^1-L^{\infty} time-decay estimate for the 2D-Schroedinger equation with a general family of scaling critical electromagnetic potentials.

math.AP2014★ 43 cited

Beltrami fields with a nonconstant proportionality factor are rare

Alberto Enciso, Daniel Peralta-Salas

We consider the existence of Beltrami fields with a nonconstant proportionality factor $f$ in an open subset $U$ of $R^{3}$ . By reformulating this problem as a constrained e…

math.AP2014★ 12 cited

Sub-Gaussian heat kernel estimates and quasi Riesz transforms for $1 \leq p \leq 2$

Li Chen

On a complete non-compact Riemannian manifold $M$ , we prove that a so-called quasi Riesz transform is always $L^{p}$ bounded for $1 < p \leq 2$ . If $M$ satisfies the doubling volume pro…

A stable self-similar singularity of evaporating drops: ellipsoidal collapse to a point

Global uniqueness for the Calderón problem with Lipschitz conductivities

Obstructions to the existence of limiting Carleman weights

Stability of inverse problems in an infinite slab with partial data

On the Lp-Poisson semigroup associated with elliptic systems

Large time behavior for the fast diffusion equation with critical absorption

Non-splat singularity for the one-phase Muskat problem

Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions

Positive solutions to some systems of coupled nonlinear Schrödinger equations

Fully nonlinear long-waves models in presence of vorticity

Time decay of scaling invariant Schroedinger equations on the plane

Beltrami fields with a nonconstant proportionality factor are rare

Sub-Gaussian heat kernel estimates and quasi Riesz transforms for 1≤p≤2

On the $L^{p}$ -Poisson semigroup associated with elliptic systems

Sub-Gaussian heat kernel estimates and quasi Riesz transforms for $1 \leq p \leq 2$