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Advanced
Classical Analysis and ODEs
[31]
Continuous and discrete one dimensional autonomous fractional ODEs
Yuanyuan Feng
Lei Li
Jian-Guo Liu
Xiaoqian Xu
Classical Analysis and ODEs
mathscidoc:1905.05005
Discrete Contin. Dyn. Syst. Ser. B,, 23, 3109-3135, 2018
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[32]
Analysis and computation of some tumor growth models with nutrient: from cell density models to free boundary dynamics
Jian-Guo Liu
Min Tang
Li Wang
Zhennan Zhou
Classical Analysis and ODEs
mathscidoc:1905.05004
Discrete Contin. Dyn. Syst. Ser. B, accepted, 2019
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[33]
A note on one-dimensional time fractional ODEs
Yuanyuan Feng
Lei Li
Jian-Guo Liu
Xiaoqian Xu
Classical Analysis and ODEs
mathscidoc:1905.05003
Applied Math Letter, 83, 87-94, 2018
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[34]
A generalized definition of Caputo derivatives and its application to fractional ODEs
LEI LI
Jian-Guo Liu
Classical Analysis and ODEs
mathscidoc:1905.05001
SIAM J. Math Anal, 50, 2867-2900, 2018
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[35]
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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[ 2018-10-31 04:30:06 uploaded by
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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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