output
19962026
most citedDeterminantal point process models and statistical inference : Extended version

238 citations

Showing 2016 · math.APShow all

9 papers · 2 filters

math.AP2016★ 71 cited

On time dependent Schr{ö}dinger equations: global well-posedness and growth of Sobolev norms

Alberto Maspero, Didier Robert

In this paper we consider time dependent Schr{ö}dinger linear PDEs of the form it = L(t), where L(t) is a continuous family of self-adjoint operators. We give condi…

math.AP2016★ 2 cited

Inverse scattering at fixed energy on three-dimensional asymptotically hyperbolic St{ä}ckel manifolds

Damien Gobin

In this paper, we study an inverse scattering problem at fixed energy on three-dimensional asymptotically hyperbolic St{ä}ckel manifolds having the topology of toric cylinders and…

math.AP2016

Strichartz estimates with loss of derivatives under a weak dispersion property for the wave operator

Valentin Samoyeau

This paper can be considered as a sequel of [BS14] by Bernicot and Samoyeau, where the authors have proposed a general way of deriving Strichartz estimates for the Schr{ö}dinger eq…

math.AP2016

Geometric optics for surface waves in nonlinear elasticity

Jean-Francois Coulombel, Mark Williams

This work is devoted to the analysis of high frequency solutions to the equations of nonlinear elasticity in a half-space. We consider surface waves (or more precisely, Rayleigh wa…

math.AP2016★ 29 cited

On reducibility of Quantum Harmonic Oscillator on with quasiperiodic in time potential

Eric Paturel, Benoît Grébert

We prove that a linear d-dimensional Schr{ö}dinger equation on with harmonic potential and small t-quasiperiodic potential $i\partial\_t u -- Δu + |x|^2 u +…

math.AP2016

Analytic current-vortex sheets in incompressible magnetohydrodynamics

Olivier Pierre

In this paper, we address the problem of current-vortex sheets in ideal incompressible magnetohydrodynamics. More precisely, we prove a local-in-time existence and uniqueness resul…

math.AP2016

Localization of the interior transmission eigenvalues for a ball

Vesselin Petkov, Georgi Vodev

We study the localization of the interior transmission eigenvalues (ITEs) in the case when the domain is the unit ball and the…

math.AP2016

Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws

Clément Cancès, Hélène Mathis, Nicolas Seguin

We study the finite volume approximation of strong solutions to nonlinear systems of conservation laws. We focus on time-explicit schemes on unstructured meshes, with entropy satis…

math.AP2016★ 12 cited

KAM for the Klein Gordon equation on

Benoît Grébert, Eric Paturel

Recently the KAM theory has been extended to multidimensional PDEs. Nevertheless all these recent results concern PDEs on the torus, essentially because in that case the correspond…