Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H^1(T^3)

Details Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H^1(T^3) Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H^1(T^3)

2010-05-17

arxiv.org/abs/1005.2832v3

Duke Math. J., Vol. 159, No. 2, 329-349 (2011)

Mathematics

Analysis of PDEs

v3: 19 pages

Scientific paper

10.1215/00127094-1415889

A refined trilinear Strichartz estimate for solutions to the Schr\"odinger equation on the flat rational torus T^3 is derived. By a suitable modification of critical function space theory this is applied to prove a small data global well-posedness result for the quintic Nonlinear Schr\"odinger Equation in H^s(T^3) for all s \geq 1. This is the first energy-critical global well-posedness result in the setting of compact manifolds.

Affiliated with

Also associated with

No associations

Rating

Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H^1(T^3) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H^1(T^3), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H^1(T^3) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297817