| This volume of 15 contributed papers is a tribute to Professor Guangchang Dong on the occasion of his 80th birthday. These are survey or expository papers on recent developments in the theory of partial differential equations and their applications in geometry, physics, finance, and other areas, which also reflect Professor Dong's main research interests in his career. This volume is intended for researchers and graduate students to catch up recent developments in these areas. |
| Preface 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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