The launch of this Advanced Lectures in Mathematics series is aimed at keeping mathematicians informed of the latest developments in mathematics, as well as to aid in the learning of new mathematical topics by students all over the world. Each volume consists of either an expository monograph or a collection of significant introductions to important topics. This series emphasizes the history and sources of motivation for the topics under discussion, and also gives an overview of the current status of research in each particular field. These volumes are the first source to which people will turn in order to learn new subjects and to discover the latest results of many cutting-edge fields in mathematics.
- Front Matter
- Baojun Bian and Yang Wang: Viscosity Solutions of Bellman Equations Arising in Pricing Passport Options
- Kai-Seng Chou and Shi-Zhong Du: On Global Partial Regularity for Borderline Solutions of Semilinear Parabolic Problems
- Bo Guan: The Dirichlet Problem for Complex Monge-Ampere Equations and Applications
- Yongsheng Han and Guozhen Lu : Some Recent Works on Multiparameter Hardy Space Theory and Discrete Littlewood-Paley Analysis
- Min-Chun Hong: Some Analytic Aspects of Liquid Crystal Configurations
- De-Xing Kong: Extremal Sub-manifolds in Minkowski Space-time
- Jun Ling and Zhiqin Lu: Bounds of Eigenvalues on Riemannian Manifolds
- Yue Liu : Wave Breaking Phenomena and Stability of Peakons for the Degasperis-Procesi Equation
- Xi-Nan Ma and Qianzhong Ou : The Convexity of Level Sets for Solutions to Partial Differential Equations
- Xing-Bin Pan : Nucleation of Instability of Meissner State of Superconductors and Related Mathematical Problems
- Yi-Bing Shen: Calculus of Some Geometric Variations in Finsler Geometry
- Weimin Sheng and Xu-Jia Wang: Regularity and Singularity in the Mean Curvature Flow
- Longjun Shen and Guixia Lv : Study of Finite Point Method
- Jingxue Yin, Peidon9 Lei and Chunpeng Wang: Nonlinear Diffusion Equations with Different Kind of Degeneracy
- Xiaohua Zhu: Canonical Metrics on Toric Manifolds
- List of publications by Guangchang Dong
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