Geodesic
A sharp Schrödinger maximal estimate in $\mathbb {R}^2$
Xiumin Du1 ; Larry Guth2 ; Xiaochun Li1
1 University of Illinois at Urbana-Champaign, Urbana IL
2 Massachusetts Institute of Technology, Cambridge, MA
Annals of mathematics, Tome 186 (2017) no. 2, pp. 607-640.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show that $\lim_{t \to 0} e^{it\Delta}f(x) = f(x)$ almost everywhere for all $f \in H^s (\mathbb{R}^2)$ provided that $s>1/3$. This result is sharp up to the endpoint. The proof uses polynomial partitioning and decoupling.
DOI : 10.4007/annals.2017.186.2.5

Xiumin Du 1 ; Larry Guth 2 ; Xiaochun Li 1

1 University of Illinois at Urbana-Champaign, Urbana IL
2 Massachusetts Institute of Technology, Cambridge, MA 
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Xiumin Du; Larry Guth; Xiaochun Li. A sharp Schrödinger maximal estimate in $\mathbb  {R}^2$. Annals of mathematics, Tome 186 (2017) no. 2, pp. 607-640. doi : 10.4007/annals.2017.186.2.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2017.186.2.5/

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