most citedA lower bound on the blow-up rate for the Davey-Stewartson system on the torus

4 citations · 7 across the 3 of their papers we have counts for

collaborators
Showing math.APShow all

4 papers · 1 filter

math.AP2012★ 4 cited

A lower bound on the blow-up rate for the Davey-Stewartson system on the torus

Nicolas Godet

We consider the hyperbolic-elliptic version of the Davey-Stewartson system with cubic nonlinearity posed on the two dimensional torus. A natural setting for studying blow up soluti…

math.AP2012

Strichartz estimates for the periodic non elliptic Schrodinger equation

Nicolas Godet, Nikolay Tzvetkov

The purpose of this note is to prove sharp Strichartz estimates with derivative losses for the non elliptic Schrodinger equation posed on the 2 dimensional torus.

math.AP2012

Blow up on a curve for a nonlinear Schrödinger equation on Riemannian surfaces

Nicolas Godet

We consider the focusing quintic nonlinear Schrödinger equation posed on a rotationally symmetric surface, typically the sphere or the two dimensional hyperbolic space .…

math.AP2010★ 3 cited

Blow up in several points for the nonlinear Schrödinger equation on a bounded domain

Nicolas Godet

Given points in a bounded domain of , with , we show the existence of solutions of the -critical focusing nonlinear Schrödinger equation blowing up exactly in…