Classical Analysis and ODEs

[1] Piecewise Continuous Almost Automorphic Functions and Favard's Theorems for Impulsive Differential Equations In Honor of Russell Johnson

Liangping Qi Tianjin University of Finance and Economics Rong Yuan Beijing Normal University

Classical Analysis and ODEs mathscidoc:2103.05004

Journal of Dynamics and Differential Equations, 2020.8
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[2] Spectrum of the Lame operator and application, II: When an endpoint is a cusp

Zhijie Chen Tsinghua University Chang-Shou Lin Taiwan University

Classical Analysis and ODEs mathscidoc:2103.05003

Communications in mathematical Physics, 378, 335–368, 2020
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[3] Spectrum of the Lame operator and application, I: Deformation along Re tau=1/2

Zhijie Chen Tsinghua University Erjuan Fu Tsinghua University Chang-Shou Lin Taiwan University

Classical Analysis and ODEs mathscidoc:2103.05002

Advances in Mathematics, 383, 107699, 2021
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[4] Representations of mock theta functions

Dandan Chen East China Normal University Liuquan Wang Wuhan University

Classical Analysis and ODEs Combinatorics Number Theory mathscidoc:2103.05001

Advances in Mathematics, 365, 107037, 2020
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[5] Zeros of the deformed exponential function

Liuquan Wang Wuhan University Cheng Zhang Johns Hopkins University

Analysis of PDEs Classical Analysis and ODEs Combinatorics Number Theory mathscidoc:2103.03003

Advances in Mathematics, 332, 311–348, 2018
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[6] Ballistic orbits and front speed enhancement for ABC flows

Tyler McMillen Jack Xin Yifeng Yu Andrej Zlatos

Classical Analysis and ODEs mathscidoc:1912.43885

SIAM Journal on Applied Dynamical Systems, 15, (3), 1753-1782, 2016.9
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[7] Existence of homoclinic solutions for a fourth order differential equation with a parameter

Tiexiang Li Juntao Sun Tsung-fang Wu

Classical Analysis and ODEs mathscidoc:1912.43735

Applied Mathematics and Computation, 251, 499-506, 2015.1
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[8] Capacitary differentiability of potentials of finite Radon measures

Joan Verdera Universitat Autònoma de Barcelona

Classical Analysis and ODEs mathscidoc:1912.43046

Arkiv for Matematik, 57, (2), 437 – 450, 2019
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[9] Improved fractional Poincaré type inequalities on John domains

María Eugenia Cejas Universidad Nacional de La Plata Irene Drelichman Universidad de Buenos Aires Javier C. Martínez-Perales Basque Center for Applied Mathematics

Classical Analysis and ODEs mathscidoc:1912.43039

Arkiv for Matematik, 57, (2), 285-315, 2019
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[10] The asymptotic zero-counting measure of iterated derivaties of a class of meromorphic functions

Christian Hägg Stockholm University

Classical Analysis and ODEs mathscidoc:1912.43031

Arkiv for Matematik, 57, (1), 107-120, 2019
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[11] Rectifiability, interior approximation and harmonic measure

Murat Akman University of Connecticut Simon Bortz University of Washington Steve Hofmann University of Missouri José María Martell Instituto de Ciencias Matemáticas, Madrid, Spain

Classical Analysis and ODEs mathscidoc:1912.43026

Arkiv for Matematik, 57, (1), 1 – 22, 2019
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[12] Equivalence of sparse and Carleson coefficients for general sets

Timo S. Hänninen University of Helsinki

Classical Analysis and ODEs mathscidoc:1912.43019

Arkiv for Matematik, 56, (2), 333 – 339, 2018
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[13] Salem sets in vector spaces over finite fields

Changhao Chen University of New South Wales

Classical Analysis and ODEs mathscidoc:1912.43004

Arkiv for Matematik, 56, (1), 45-52, 2018
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[14] Restriction estimates using polynomial partitioning II

Larry Guth Massachusetts Institute of Technology

Classical Analysis and ODEs mathscidoc:1911.43026

Acta Mathematica, 221, (1), 81-142, 2018
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[15] Quasi pieces of the bilinear Hilbert transform incorporated into a paraproduct

Dong Dong

Classical Analysis and ODEs mathscidoc:1910.43456

The Journal of Geometric Analysis, 29, (1), 224-246, 2019.1
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[16] On a hybrid of bilinear Hilbert transform and paraproduct

Dong Dong Xiao Chun Li

Classical Analysis and ODEs mathscidoc:1910.43455

Acta Mathematica Sinica, English Series, 34, (1), 29-41, 2018.1
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[17] On a discrete bilinear singular operator

Dong Dong

Classical Analysis and ODEs mathscidoc:1910.43453

Comptes Rendus Mathematique, 355, (5), 538-542, 2017.5
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[18] Improved estimates for polynomial Roth type theorems in finite fields

Dong Dong Xiaochun Li Will Sawin

Classical Analysis and ODEs mathscidoc:1910.43452

arXiv preprint arXiv:1709.00080, 2017.8
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[19] The geometry of generalized Lame equation, II: Existence of pre-modular forms and application

Zhijie Chen Tsinghua University Ting-Jung Kuo NTU Chang-Shou Lin NTU

Classical Analysis and ODEs mathscidoc:1909.43002

Journal de Mathematiques Pures et Appliquees, 132, 251-272, 2019
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[20] On algebro-geometric simply-periodic solutions of the KdV hierarchy

Zhijie Chen Tsinghua University Chang-Shou Lin NTU

Classical Analysis and ODEs mathscidoc:1909.43001

Communications in Mathematical Physics, 374, 111-144, 2020
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[21] A generalized Fejér's theorem for locally compact groups.

Huichi Huang Chongqing University

Classical Analysis and ODEs mathscidoc:1908.05002

J. Geom. Anal., 28, (2), 909-920, 2018
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[22] Mean ergodic theorem for amenable discrete quantum groups and a Wiener-type theorem for compact metrizable groups.

Huichi Huang Chongqing University

Classical Analysis and ODEs Dynamical Systems Functional Analysis mathscidoc:1908.05001

Anal. PDE, 9, (4), 893-906, 2016
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[23] A dispersive regularization for the modified Camassa-Holm equation

YU GAO Lei Li Jian-Guo Liu

Classical Analysis and ODEs mathscidoc:1905.05010

SIAM J. Math Anal, 50, 2807-2838, 2018
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[24] The modified Camassa-Holm equation in Lagrangian coordinates

Yu Gao Jian-Guo Liu

Classical Analysis and ODEs mathscidoc:1905.05009

Discrete Contin. Dyn. Syst. Ser. B, 23, (6), 2545–2592, 2018
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[25] Learning interacting particle systems: diffusion parameter estimation for aggregation equations

Hui Huang Jian-Guo Liu Jianfeng Lu

Classical Analysis and ODEs mathscidoc:1905.05008

Mathematical Models and Methods in Applied Sciences, 29, (1), 1–29, 2019
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[26] Global convergence of sticky particle method for modified Camassa-Holm equation

YU GAO Jian-Guo Liu

Classical Analysis and ODEs mathscidoc:1905.05007

SIAM J. Math Anal, 49, 1267–1294, 2017
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[27] Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis

HUI HUANG Jian-Guo Liu

Classical Analysis and ODEs mathscidoc:1905.05006

COMMUN. MATH. SCI., 15, (7), 1821–1842, 2017
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[28] 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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[29] 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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[30] 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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[31] 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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[32] 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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[33] The geometry of generalized Lame equation, I

Zhijie Chen Tsinghua University Ting-Jung Kuo National Taiwan Normal University Chang-Shou Lin National Taiwan University

Classical Analysis and ODEs mathscidoc:1804.05001

Journal de Mathematiques Pures et Appliquees, 127, 89-120, 2019
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[34] A good lambda lemma, two weight T1 theorems without weak boundedness, and a two weight accretive global Tb theorem

Eric Sawyer McMaster University Chun-Yen Shen National Taiwan University Ignacio Uriarte-Tuero Michigan State University

Classical Analysis and ODEs mathscidoc:1803.05004

Birkhauser Volume, Harmonic Analysis and PDE: in Honor of Richard Wheeden, 125-164, 2017.6
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[35] A two weight fractional singular integral theorem with side conditions, energy and k-energy dispersed

Eric Sawyer McMaster University Chun-Yen Shen National Taiwan University Ignacio Uriarte-Tuero Michigan State University

Classical Analysis and ODEs mathscidoc:1803.05003

Springer Volume, Harmonic Analysis, PDE and Operator Theory: Celebrating Cora Sadosky's life, 2, 305-373, 2017
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[36] Hamiltonian system for the elliptic form of Painlev\'{e} VI equation

Zhijie Chen National Taiwan University Ting-Jung Kuo National Taiwan University Chang-Shou Lin National Taiwan University

Classical Analysis and ODEs mathscidoc:1803.05002

Journal de Mathématiques Pures et Appliquées, 106, 546-581, 2016.9
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[37] On reducible monodromy representations of some generalized Lam\'{e} equation

Zhijie Chen Tsinghua University Ting-Jung Kuo National Taiwan Normal University Chang-Shou Lin National Taiwan Universit Kouichi Takemura Chuo University

Classical Analysis and ODEs mathscidoc:1803.05001

Mathematische Zeitschrift, 288, 679–688, 2018.4
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[38] Twist character of the least amplitude periodic solution of the forced pendulum

Jinzhi Lei Tsinghua University Xiong Li Beijing Normal University Ping Yan Tsinghua University Meirong Zhang Tsinghua University

Classical Analysis and ODEs mathscidoc:1702.05005

SIAM J. MATH. ANAL., 35, (4), 844-867, 2003
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[39] Nonlinear differential galois theory

Jinzhi Lei Tsinghua University

Classical Analysis and ODEs mathscidoc:1702.05004

ArXiv, 0608492v2
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[40] Moment boundedness of linear stochastic delay differential equations with distributed delay

Zhen Wang Hefei University of Technology Xiong Li Beijing Normal University Jinzhi Lei Tsinghua University

Classical Analysis and ODEs mathscidoc:1702.05003

Stochastic Processes and their Applications, 124, 486-612, 2014
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[41] On a classification of polynomial differential operators with respect to the type of first integrals

Jinzhi Lei Tsinghua University

Classical Analysis and ODEs mathscidoc:1702.05002

Journal of Differential Equations, 260, 1993-2005, 2016
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[42] On generating functions of Hausdorff moment sequences

Jian-Guo Liu Duke University Robert L. Pego Carnegie Mellon University

Classical Analysis and ODEs mathscidoc:1702.05001

Transactions of the American Mathematical Society, 368, (12), 8499-8518, 2016.12
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[43] Distribution of random Cantor sets on tubes

Changhao Chen Department of Mathematical Sciences, University of Oulu

Classical Analysis and ODEs mathscidoc:1701.05006

Arkiv for Matematik, 54, (1), 39-54, 2014.10
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[44] On the weak-type (1,1) of the uncentered Hardy–Littlewood maximal operator associated with certain measures on the plane

Anna K. Savvopoulou Department of Mathematical Sciences, Indiana University South Bend Christopher M. Wedrychowicz Department of Mathematics and Computer Science, Saint Mary’s College

Classical Analysis and ODEs mathscidoc:1701.05005

Arkiv for Matematik, 52, (2), 367-382, 2012.11
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[45] Asymptotic porosity of planar harmonic measure

Jacek Graczyk Department of Mathematics, University of Paris XI Grzegorz Świa̧tek Department of Mathematics and Information Sciences, Warsaw University of Technology

Classical Analysis and ODEs mathscidoc:1701.05004

Arkiv for Matematik, 51, (1), 53-69, 2010.9
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[46] On a class of orthogonal series

H. Bohman

Classical Analysis and ODEs mathscidoc:1701.05003

Arkiv for Matematik, 1, (1), 13-19, 1949.9
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[47] The Loewner equation for multiple slits, multiply connected domains and branch points

Christoph Böhm Institut für Mathematik, Universität Würzburg Sebastian Schleißinger Dipartimento di Matematica, Università di Roma “Tor Vergata”

Classical Analysis and ODEs mathscidoc:1701.05002

Arkiv for Matematik, 1-32, 2014.10
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[48] Invariant Peano curves of expanding Thurston maps

Daniel Meyer Jacobs University, Campus Ring 1, Bremen, Germany

Classical Analysis and ODEs Complex Variables and Complex Analysis mathscidoc:1701.05001

Acta Mathematica, 210, (1), 95-171, 2010.11
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[49] New Lyapunov-type inequalities for a class of even-order linear differential equations

xiaojing yang Department of Mathematics, Tsinghua University Kueiming Lo School of Software, Tsinghua University

Classical Analysis and ODEs mathscidoc:1611.05003

Mathematische Nachrichten, 288, (16), 1910-1915, 2015.4
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[50] Complete structure of the Fucik spectrum of the p-Laplacian with integrable potentials on an interval

Wei Chen Department of Mathematics, College of Science, Hohai University Jifeng Chu Department of Mathematics, College of Science, Hohai University Ping Yan Department of Mathematical Sciences, Tsinghua University Meirong Zhang Department of Mathematical Sciences, Tsinghua University

Classical Analysis and ODEs mathscidoc:1611.05002

Communications in Contemporary Mathematics, 18, (6), 1550085, 2016
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[51] Optimal lower bound for the first eigenvalue of the fourth order equation

Gang Meng School of Mathematical Sciences, University of Chinese Academy of Sciences Ping Yan Department of Mathematical Sciences, Tsinghua University

Classical Analysis and ODEs mathscidoc:1611.05001

J. Differential Equations, 261, 3149–3168, 2016
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[52] Unitary monodromy implies the smoothness along the real axis for some Painleve VI equation, I

Zhijie Chen Tsinghua University Ting-Jung Kuo Taiwan University Chang-Shou Lin Taiwan University

Classical Analysis and ODEs mathscidoc:1610.05001

Distinguished Paper Award in 2017

Journal of Geometry and Physics, 116, 2017
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[53] A Note on Failure of Energy Reversal for Classical Fractional Singular Integrals

E. Sawyer McMaster Univ Chun-Yen Shen National Taiwan University I. Uriarte-Tuero Michigan State Univ

Classical Analysis and ODEs mathscidoc:1609.05004

International Mathematics Research Notices, 2015
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[54] A two weight theorem for alpha-fractional singular integrals with an energy side condition

E. Sawyer McMaster Univ Chun-Yen Shen National Taiwan University I. Uriarte-Tuero Michigan State Univ

Classical Analysis and ODEs mathscidoc:1609.05003

Rev. Mat. Iberoam., 2016
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[55] Two-weight inequality for the hilbert transform: a real variable characterization

M. Lacey Georgia Institute of Technology E. Sawyer McMaster Univ Chun-Yen Shen National Taiwan University Ignacio Uriarte-Tuero Michigan State Univ

Classical Analysis and ODEs mathscidoc:1609.05002

Duke Math Journal , 2014
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[56] Averaging Operators Over Homogeneous Varieties Over Finite Fields

Doowon Koh Chungbuk National University, Korea Chun-Yen Shen National Taiwan University Igor Shparlinski University of New South Wales, Australia

Classical Analysis and ODEs mathscidoc:1609.05001

The Journal of Geometric Analysis, 2016
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[57] GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities

Jie Zhou Perimeter Institute

Classical Analysis and ODEs mathscidoc:1608.05001

2016.6
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