Global wellposedness for 1D non-linear Schrödinger equation for data with an infinite L2 norm

By Ana Vargas, Luis Vega. 2001

82 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/08a041cca42c5984f1aee8d7c7d5106fca480225

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. D. Tataru
2. Herbert Koch
3. Terence Tao
4. Carlos E. Kenig
5. Jason Metcalfe
6. Hart F. Smith
7. Christopher D. Sogge
8. Changyou Wang

In Control and Systems Engineering

1. D. Tataru
2. Herbert Koch
3. Carlos E. Kenig
4. Terence Tao
5. B. Dodson
6. A. Ionescu
7. Pierre Germain
8. J. Krieger

In Mathematical Physics

1. D. Tataru
2. Herbert Koch
3. Carlos E. Kenig
4. Terence Tao
5. A. Ionescu
6. B. Dodson
7. Jason Metcalfe
8. Luc Molinet

Citations in the corpus

• A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces (2006, methodology): “We also refer the reader to the work of Vargas-Vega [10] and Grünrock [4] who consider the cubic NLS in alternative function spaces below L(2), but only in settings where the local Lipschitz dependence on the initial data still holds.”
• Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces (2018, unknown): “We also mention a precursor to this result by Vargas-Vega [36] to [18], establishing wellposedness of (1.”