Journals Pure and Applied Mathematics Quarterly Editors

Pure and Applied Mathematics Quarterly Editors-in-Chief: Lizhen Ji, Kefeng Liu, Jie Xiao, and Shing-Tung Yau ISSN: 1558-8599 (print), 1558-8602 (online) Issues: 4/year For price information see How To Order/Price Lists

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Lizhen Ji Department of Mathematics University of Michigan Ann Arbor, MI 48109 USA lji@umich.edu

Kefeng Liu Department of Mathematics University of California, Los Angeles Los Angeles, CA 90095 USA liu@math.ucla.edu

Jie Xiao Department of Mathematics Tsinghua University Beijing 100084, P.R.China jxiao@math.tsinghua.edu.cn

Shing-Tung Yau Department of Mathematics Harvard University Cambridge, MA 02138 USA yau@math.harvard.edu

Hong-wei Xu Department of Mathematics Zhejiang University Hangzhou, P.R. China Xuhw@cms.zju.edu.cn

Editors:

J.H. Coates Department of Pure Mathematics and Mathematical Statistics University of Cambridge Cambridge CB2 1TN, UK J.H.Coates@dpmms.cam.ac.uk Jia-Xing Hong Mathematics Department Fudan University Shanghai, 200433 P.R.China jxhong@fudan.edu.cn Conan Leung Mathematics Department Chinese University of Hong Kong Shatin, Hong Kong LEUNG@ims.cuhk.edu.hk Jun Li 450 Serra Mall, Bldg. 380 Stanford University Stanford, CA 94305-2125 USA jli@math.stanford.edu Feng Luo Department of Mathematics 110 Frelinghuysen Road Rutgers University Piscataway, NJ 08854 USA fluo@math.rutgers.edu Chi-Wang Shu Division of Applied Mathematics 182 George Street Brown University Providence, RI02912 USA shu@dam.brown.edu

Yuefei Wang Institute of Mathematics Academy of Mathematics and Systems Sciences Academia Sinica wangyf@math.ac.cn Lo Yang Institute of Mathematics Academy of Mathematics and Systems Sciences Academia Sinica yanglo@math.ac.cn Tong-Hai Yang Department of Mathematics University of Wisconsin 480 Lincoln Drive Madison, WI 53706 USA thyang@math.wisc.edu Shou-Wu Zhang Department of Mathematics University of Columbia 2990 Broadway New York, NY 10027 USA szhang@cpw.math.columbia.edu Xi-Ping Zhu SunYat-sen University Guangzhou, 510275 P.R.China stszxp@zsu.edu.cn