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[1641]
On a two-component Bose-Einstein condensate with steep potential wells
Yuanze Wu
China University of Mining and Technology
Tsung-fang Wu
National University of Kaohsiung
Wenming Zou
Tsinghua University
Analysis of PDEs
mathscidoc:1611.03003
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[1642]
On injective banach spaces and the spaces$L$^{∞}(μ) for finite measures μ
Haskell P. Rosenthal
University of California, Berkeley, Calif., USA
TBD
mathscidoc:1701.331383
Acta Mathematica, 124, (1), 205-248, 1969.5
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[1643]
Principe de moindre action, propagation de la chaleur et estimees sous elliptiques sur certains groupes nilpotents
Bernard Gaveau
Paris, France
TBD
mathscidoc:1701.331516
Acta Mathematica, 139, (1), 95-153, 1977.4
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[1644]
On the classification of fractal squares
Jun Luo
Chongqing University
Jing-Cheng Liu
Hunan Normal University
mathscidoc:1702.02005
Fractals, 2016
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[1645]
A Sharp Schrödinger Maximal Estimate in R^2
Xiumin Du
University of Maryland College Park
Larry Guth
Massachusetts Institute of Technology
Xiaochun Li
University of Illinois at Urbana-Champaign
Classical Analysis and ODEs
mathscidoc:1810.05001
Distinguished Paper Award in 2018
Ann. of Math. (2), 186, (2), 607-640, 2017.8
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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.
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