Analysis of PDEs

[1] Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

Yong Huang Hunan university Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Differential Geometry Convex and Discrete Geometry mathscidoc:1702.03003

Silver Award Paper in 2017

Acta Mathematica, 216, (2), 325–388, 2016.11
[ Download ] [ 2017-02-05 23:02:26 uploaded by YHuang ] [ 1336 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[2] Optimal Sobolev norms and the Lp Minkowski problem

Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Convex and Discrete Geometry mathscidoc:1703.03002

International Mathematics Research Notices, 62987, 2006
[ Download ] [ 2017-03-02 06:38:57 uploaded by deaneyang ] [ 1297 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] Trace theorems for some nonlocal energy spaces with heterogeneous localization

Xiaochuan Tian Columbia University Qiang Du Columbia University

Analysis of PDEs mathscidoc:1703.03009

SIAM J. Mathematical Analysis, 2017
[ Download ] [ 2017-03-14 19:26:04 uploaded by qd2125 ] [ 1191 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[4] Semiclassical measures on hyperbolic surfaces have full support

Semyon Dyatlov University of California, Berkeley and Massachusetts Institute of Technology Long Jin Yau Mathematical Science Center, Tsinghua University

Analysis of PDEs Dynamical Systems mathscidoc:1808.03001

Best Paper Award in 2018

Acta Mathematica, 220, (2), 297 – 339, 2018
[ Download ] [ 2018-08-06 16:02:33 uploaded by jinlong ] [ 1109 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[5] Calabi-Yau manifolds with isolated conical singularities

Hans-Joachim Hein Fordham University Song Sun Stony Brook University

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics Symplectic Geometry mathscidoc:1806.01002

Distinguished Paper Award in 2018

Publications mathématiques de l'IHÉS, 126, (1), 73-130, 2017.11
[ Download ] [ 2018-06-27 17:39:48 uploaded by hhein ] [ 1108 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[6] Wave propagation speed on fractals

Sze-Man Ngai Hunan Normal University and Georgia Southern University Wei Tang Hunan Normal University Yuanyuan Xie Hunan Normal University

Analysis of PDEs mathscidoc:1701.03001

[ Download ] [ 2017-01-05 18:04:58 uploaded by smngai ] [ 1053 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] A Holder estimate for non-uniform elliptic equations in a random medium

Li-Ming Yeh National Chiao Tung University Shiah-Sen Wang National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03010

[ Download ] [ 2016-09-21 22:30:23 uploaded by liming ] [ 1037 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8] Uncertain Multilevel Programming: Algorithm and Applications

Baoding Liu Tsinghua University Kai Yao University of Chinese Academy of Sciences

Analysis of PDEs mathscidoc:1611.03002

Computers & Industrial Engineering, 89, 235-240, 2015
[ Download ] [ 2016-11-26 13:41:09 uploaded by utlab ] [ 1032 downloads ] [ 0 comments ] [ Cited by 28 ] [ Abstract ] [ Full ]
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[9] Generalized characteristics and Lax-Oleinik operators: global theory

Piermarco Cannarsa Universit\`a di Roma ``Tor Vergata'', Italy Wei Cheng Nanjing University, China

Analysis of PDEs mathscidoc:1701.03036

2016
[ Download ] [ 2017-01-24 22:44:01 uploaded by treatise ] [ 1016 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[10] Estimates of the gaps between consecutive eigenvalues of Laplacian

Daguang Chen Tsinghua University Hongcang Yang Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Tao Zheng School of Mathematics and Statistics, Beijing Institute of Technology,

Analysis of PDEs mathscidoc:1612.03002

Pacific J. Math. , 2016
[ Download ] [ 2016-12-30 15:18:59 uploaded by Daguang ] [ 887 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[11] Evolution of the two dimensional Boussinesq system

Tai-Man Tang Xiangtan University Ye Xie Xiangtan University

Analysis of PDEs mathscidoc:1703.03008

Dynamics of Partial Differential Equations, 13, (4), 333-350, 2016
[ Download ] [ 2017-03-11 11:56:09 uploaded by taimantang ] [ 857 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[12] On improved fractional Sobolev–Poincaré inequalities

Bartłomiej Dyda Faculty of Pure and Applied Mathematics, Wrocław University of Technology Lizaveta Ihnatsyeva Department of Mathematics, Kansas State University Antti V. Vähäkangas Department of Mathematics and Statistics, University of Jyvaskyla

Analysis of PDEs Functional Analysis mathscidoc:1701.03014

Arkiv for Matematik, 1-18, 2014.5
[ Download ] [ 2017-01-08 20:34:06 uploaded by arkivadmin ] [ 851 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[13] L^p gradient estimate for elliptic equations with high-contrast conductivities in R^n

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03011

[ Download ] [ 2016-09-21 22:37:14 uploaded by liming ] [ 822 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[14] Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density

Thierry Goudon INRIA Sophia Antipolis Méditerranée and Labo. J. A. Dieudonné Shi Jin Institute of Natural Sciences, and Ministry of Education Key Laboratory of Scientific and Engineering Computing, Shanghai Jiao Tong University Jian-Guo Liu Duke University Bokai Yan University of California, Los Angeles

Analysis of PDEs mathscidoc:1702.03036

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 75, (1), 81–102, 2014.2
[ Download ] [ 2017-02-08 10:40:07 uploaded by jianguo ] [ 815 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[15] Efficient Parallel Simulation of Blood Flows in Abdominal Aorta

Shanlin Qin Rongliang Chen Ngai-Ching Wong 陳界山

Analysis of PDEs mathscidoc:1909.01001

SIAM Journal on Scientific Computing, 34, 2019.5
[ Download ] [ 2019-09-05 14:02:06 uploaded by NgaiChing_Wong ] [ 812 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[16] On the formation of shocks for quasilinear wave equations

Shuang Miao University of Michigan Pin Yu Tsinghua University

Analysis of PDEs mathscidoc:1608.03001

Distinguished Paper Award in 2017

[ Download ] [ 2016-08-17 22:17:13 uploaded by pinyu ] [ 793 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[17] Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime

Yuan Gao Fudan University Jian-Guo Liu Duke University Jianfeng Lu Duke University

Analysis of PDEs mathscidoc:1702.03007

2017.1
[ Download ] [ 2017-02-06 15:02:41 uploaded by jianguo ] [ 787 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[18] On convolution groups of completely monotone sequences/functions and fractional calculus

LEI LI Duke University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03005

2017.1
[ Download ] [ 2017-02-06 11:13:14 uploaded by jianguo ] [ 786 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[19] Global existence of smooth solutions and convergence to Barenblatt solutions for the physical vacuum free boundary problem of compressible Euler equations with damping

TAO LUO Georgetown University Huihui Zeng Tsinghua University

Analysis of PDEs mathscidoc:1703.03011

Distinguished Paper Award in 2017

Comm. Pure Appl. Math. , 69
[ Download ] [ 2017-03-29 20:17:42 uploaded by hhzeng ] [ 775 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows

N. Benjamin Murphy University of California at Irvine Elena Cherkaev University of Utah Jack Xin University of California at Irvine Jingyi Zhu University of Utah Kenneth M. Golden University of Utah

Analysis of PDEs mathscidoc:1608.03002

Annals of Mathematical Sciences and Applications, 0, (0), 2014.1
[ Download ] [ 2016-08-18 11:11:23 uploaded by admin ] [ 769 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] Generalization of Selberg’s $$ \frac{3}{{16}} $$ theorem and affine sieve

Jean Bourgain School of Mathematics, Institute for Advanced Study Alex Gamburd Department of Mathematics, University of California at Santa Cruz Peter Sarnak School of Mathematics, Institute for Advanced Study

Analysis of PDEs Combinatorics Functional Analysis mathscidoc:1701.03005

Acta Mathematica, 207, (2), 255-290, 2009.12
[ Download ] [ 2017-01-08 20:33:57 uploaded by actaadmin ] [ 754 downloads ] [ 0 comments ] [ Cited by 27 ] [ Abstract ] [ Full ]
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[22] The logarithmic Minkowski problem

Károly J. Böröczky Alfréd Rényi Institute of Mathematics Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Differential Geometry Convex and Discrete Geometry mathscidoc:1702.03082

Journal of the American Mathematical Society, 26, (3), 831–852, 2013
[ Download ] [ 2017-02-28 04:45:36 uploaded by deaneyang ] [ 744 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] Spectroscopic imaging of a dilute cell suspension

Habib Ammari ETH Zürich Josselin Garnier Université Paris VII Laure Giovangigli University of California at Irvine Wenjia Jing Tsinghua University Jin-Keun Seo Yonsei University

Analysis of PDEs mathscidoc:1702.03080

J. Math. Pures Appl., 105, (5), 603-661, 2016
[ Download ] [ 2017-02-22 08:41:12 uploaded by wjing ] [ 737 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] On the regularity of solutions to a generalization of the Minkowski problem

Erwin Lutwak New York University Vladimir Oliker Emory University

Analysis of PDEs mathscidoc:1703.03001

Journal of Differential Geometry, 41, (1), 227–246, 1995
[ Download ] [ 2017-03-02 06:30:27 uploaded by lutwak ] [ 731 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] Uniform bound and convergence for elliptic homogenization problems

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03015

[ Download ] [ 2016-09-21 22:55:32 uploaded by liming ] [ 723 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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