A sharp Schrödinger maximal estimate in R2
By Xiumin Du, Larry Guth, Xiaochun Li. 2017
148 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/005d2107fb48dbd32e41fa2d6e0bc87a4a98b8b0
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES (2018, methodology): “7 using linear refined Strichartz estimates developed in [8].”
- Sharp estimates for oscillatory integral operators via polynomial partitioning (2017, background): “Polynomial partitioning has played an increasingly important rôle in the theory of oscillatory integral operators, beginning with the work on the restriction problem in [14, 13] and, more recently, in [11].”
- Weighted restriction estimates and application to Falconer distance set problem (2018, methodology): “One of the key ingredients in our proof is the linear and bilinear refined Strichartz estimates established in [3].”
- Sharp L2 estimates of the Schrödinger maximal function in higher dimensions (2018, methodology): “In the broad case, we can exploit the transversality and apply the multilinear refined Strichartz estimate, which is a result obtained by Guth, Li and the authors in [13] (see [12, 14, 13] for applications of the refined Strichartz estimate).”