Analysis of PDEs

[1] The existence of the solution of the wave equation on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03011

arXiv, 2021.8
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[2] Semilinear heat equations and parabolic variational inequalities on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03010

arXiv, 2021.8
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[3] Calculus of variations on locally finite graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs Combinatorics mathscidoc:2207.03009

Revista Matemática Complutense, 2021.9
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[4] A heat flow for the mean field equation on a finite graph

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Analysis of PDEs Combinatorics mathscidoc:2207.03008

Calculus of Variations and Partial Differential Equations, 60, (206), 2021.8
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[5] Existence of Solutions to Mean Field Equations on Graphs

An Huang Department of Mathematics, Brandies University, Waltham, MA, USA Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, China Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, USA

Analysis of PDEs mathscidoc:2207.03007

Communications in Mathematical Physics, 377, 613–621, 2020.2
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[6] Blow-up problems for nonlinear parabolic equations on locally finite graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs mathscidoc:2207.03006

Acta Mathematica Scientia, 38, (3), 843-856, 2018.5
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[7] Harnack and mean value inequalities on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Hongye Song School of General Education, Beijing International Studies University, Beijing 100024, China; Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs Differential Geometry mathscidoc:2207.03005

Acta Mathematica Scientia, 38, (6), 1751-1758, 2018.11
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[8] Log-Sobolev Inequalities on Graphs with Positive Curvature

Yong Lin Department of Mathematics, Renmin University of China Shuang Liu Department of Mathematics, Renmin University of China Hongye Song Department of Mathematics, Renmin University of China; Beijing International Studies University

Analysis of PDEs mathscidoc:2207.03004

Mathematical Physics and Computer Simulation, 20, (3), 99-110, 2017.9
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[9] On-diagonal lower estimate of heat kernels on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, PR China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, PR China

Analysis of PDEs Combinatorics mathscidoc:2207.03003

Journal of Mathematical Analysis and Applications, 456, (2), 1040-1048, 2017.12
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[10] Existence of positive solutions to some nonlinear equations on locally finite graphs

Alexander Grigor’yan Department of Mathematics, University of Bielefeld, Bielefeld, 33501, Germany; School of Mathematical Sciences and Laboratory of Pure Mathematics and Combinatorics, Nankai University, Tianjin, 300071, China Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, China YunYan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03002

Science China Mathematics, 60, 1311–1324, 2017.4
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[11] Kazdan-Warner equation on graph

Alexander Grigor’yan Department of Mathematics, University of Bielefeld, 33501, Bielefeld, Germany Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Analysis of PDEs mathscidoc:2207.03001

Calculus of Variations and Partial Differential Equations, 55, (92), 2016.7
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[12] Effective fronts of polygon shapes in two dimensions

Wenjia Jing Hung V. Tran Yifeng Yu

Analysis of PDEs Dynamical Systems mathscidoc:2206.03020

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[13] Convergence rate for the homogenization of stationary diffusions in dilutely perforated domains with reflecting boundaries

Wenjia Jing

Analysis of PDEs mathscidoc:2206.03019

Minimax Theory and its Applications
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[14] High order homogenized Stokes models capture all three regimes

Florian Feppon Department of Mathematics - ETH Wenjia Jing Mathematical Sciences Center [Tsinghua]

Analysis of PDEs mathscidoc:2206.03018

SIAM Journal on Mathematical Analysis
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[15] Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No. 1 Tsinghua Yuan, Beijing 100084, People’s Republic of China

Analysis of PDEs Functional Analysis mathscidoc:2206.03017

Calculus of Variations, 60, (2), 2020.11
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[16] Effective Fronts of Polytope Shapes

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, P. R. China Hung V. Tran Dept. of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A. Yifeng Yu Dept. of Mathematics, University of California, Irvine, CA 92697, U.S.A.

Analysis of PDEs Dynamical Systems mathscidoc:2206.03016

Minimax Theory and its Applications, 5, (2), 347-360, 2020.9
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[17] Generalized ergodic problems: Existence and uniqueness structures of solutions

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No.1 Tsinghua Yuan, Beijing 100084, China Hiroyoshi Mitake Graduate School of Mathematical Sciences, University of Tokyo 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan Hung V. Tran Department of Mathematics, University of Wisconsin Madison, Van Vleck hall, 480 Lincoln drive, Madison, WI 53706, USA

Analysis of PDEs mathscidoc:2206.03015

Journal of Differential Equations, 268, (6), 2886-2909, 2020.3
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[18] A Unified Homogenization Approach for the Dirichlet Problem in Perforated Domains

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, People's Republic ofChina

Analysis of PDEs mathscidoc:2206.03014

SIAM Journal on Mathematical Analysis, 52, (2), 1192-1220, 2020.3
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[19] A backscattering model based on corrector theory of homogenization for the random Helmholtz equation

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No.1 Tsinghua Yuan, Beijing 100084, China Olivier Pinaud Department of Mathematics, Colorado State University, Fort Collins, CO 80525, USA

Analysis of PDEs mathscidoc:2206.03013

Discrete and Continuous Dynamical Systems - B, 24, (10), 5377-5407, 2019.10
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[20] Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No 1. Tsinghua Yuan, Beijing 100084, China Panagiotis E. Souganidis Department of Mathematics, The University of Chicago, 5734 S. University Ave., Chicago, IL 60637, USA Hung V. Tran Department of Mathematics, University of Wisconsin at Madison, 480 Lincoln Drive, Madison, WI 53706, USA

Analysis of PDEs Optimization and Control Probability mathscidoc:2206.03012

Discrete and Continuous Dynamical Systems - S, 11, (5), 915-939, 2018.10
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[21] Homogenization of randomly deformed conductivity resistant membranes

Wenjia Jing Department of Mathematics, University of Chicago, Illinois, U.S.A.

Analysis of PDEs mathscidoc:2206.03011

Communications in Mathematical Sciences, 14, (5), 1237-1268, 2016.5
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[22] Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity

Habib Ammari Department of Mathematics and Applications, Ecole Normale Sup ́erieure, 75005 Paris, France Elie Bretin Institut Camille Jordan, INSA de Lyon, Villeurbanne Cedex 69621, France Josselin Garnier Wenjia Jing Department of Mathematics and Applications, Ecole Normale Sup ́erieure, 75005 Paris, France Hyeonbae Kang Department of Mathematics, Inha University, Incheon 402-751, Korea Abdul Wahab Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt. 47040, Pakistan

Analysis of PDEs Optimization and Control mathscidoc:2206.03010

SIAM Journal on Imaging Sciences, 6, (4), 2174-2212, 2013.11
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[23] Passive Array Correlation-Based Imaging in a Random Waveguide

Habib Ammari D ́epartement de Math ́ematiques et Applications, ́Ecole Normale Sup ́erieure, 75230 Paris Cedex05, France Josselin Garnier Laboratoire de Probabilit ́es et Mod`eles Al ́eatoires & Laboratoire Jacques-Louis Lions, Universit ́eParis VII, 75205 Paris Cedex 13, France Wenjia Jing D ́epartement de Math ́ematiques et Applications, ́Ecole Normale Sup ́erieure, 75230 Paris Cedex05, France

Analysis of PDEs Probability mathscidoc:2206.03009

Multiscale Modeling & Simulation, 11, (2), 656-681, 2013.6
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[24] Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University, 10027 New York, USA. Wenjia Jing D´epartement de Math´ematiques et Applications, Ecole Normale Sup´erieure, 45 Rue d’Ulm, 75230 Paris Cedex 05, France

Analysis of PDEs Numerical Analysis and Scientific Computing Probability mathscidoc:2206.03008

ESAIM: Mathematical Modelling & Numerical Analysis, 48, 387–409, 2014.3
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[25] Radiative transfer and diffusion limits for wave field correlations in locally shifted random media

Habib Ammari Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France Emmanuel Bossy Institut Langevin, ESPCI ParisTech, CNRS UMR 7587, 10 rue Vauquelin, 75231 Paris Cedex 05, France Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 75205 Paris Cedex 13, France Wenjia Jing Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France Laurent Seppecher Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France

Analysis of PDEs Mathematical Physics mathscidoc:2206.03007

Journal of Mathematical Physics, 54, (2), 021501, 2013.2
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