output
20022011
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations

Showing 2006Show all

9 papers · 1 filter

math.PR200683 cited

Level crossings and other level functionals of stationary Gaussian processes

Marie F. Kratz

This paper presents a synthesis on the mathematical work done on level crossings of stationary Gaussian processes, with some extensions. The main results [(factorial) moments, repr…

cond-mat.str-el200654 cited

Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms

S. Capponi, G. Roux, P. Azaria +2

The phase diagram of spin-3/2 fermionic cold atoms trapped in a one-dimensional optical lattice is investigated at quarter filling (one atom per site) by means of large-scale numer…

math.AP2006596 cited

Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

Carlos E. Kenig, Frank Merle

We prove, for the energy critical, focusing NLS, that for data whose energy is smaller than that of the standing wave, and whose homogeneous Sobolev norm H^1 is smaller than that o…

hep-th200612 cited

Nature of the deconfining phase transition in the 2+1-dimensional SU(N) Georgi-Glashow model

Philippe Lecheminant

The nature of the deconfining phase transition in the 2+1-dimensional SU(N) Georgi-Glashow model is investigated. Within the dimensional-reduction hypothesis, the properties of the…

nlin.PS200617 cited

Electromagnetically induced switching of ferroelectric thin films

J. -G. Caputo, E. V. Kazantseva, A. I. Maimistov

We analyze the interaction of an electromagnetic spike (one cycle) with a thin layer of ferroelectric medium with two equilibrium states. The model is the set of Maxwell equations…

cond-mat.other200691 cited

Vortex polarity switching by a spin--polarized current

Jean-Guy Caputo, Yuri Gaididei, Franz G. Mertens +1

The spin-transfer effect is investigated for the vortex state of a magnetic nanodot. A spin current is shown to act similarly to an effective magnetic field perpendicular to the na…