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Partial Differential Equations in China

  • Book
  • © 1994

Overview

Editors:
  1. Chaohao Gu

    1. Fudan University, Shanghai, China

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  2. Xiaxi Ding

    1. Institute of Applied Mathematics, Academia Sinica, Beijing, China

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    You can also search for this editor in PubMed   Google Scholar

  3. Chung-Chun Yang

    1. Department of Mathematics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 288)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-x
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  2. Survey Papers

    1. Degenerate Parabolic and Elliptic Equations

      • Yazhe Chen
      Pages 1-18

    2. Nonlinear Hyperbolic Conservation Laws

      • Xiaxi Ding, Tong Zhang
      Pages 19-29

    3. Elliptic and Parabolic Equations

      • Guangcang Dong
      Pages 30-41

    4. Viscosity Solutions of Fully Nonlinear Elliptic and Parabolic Equations

      • Guangcang Dong, Baojun Bian
      Pages 42-49

    5. Some Developments of the Theory of Mixed PDEs

      • Chaohao Gu, Jiaxing Hong
      Pages 50-66

    6. Free Boundary Problems

      • Lishang Jiang
      Pages 67-79

    7. The Generalized Riemann Problem for Quasilinear Hyperbolic Systems of Conservation Laws

      • Ta-tsien Li
      Pages 80-103

    8. Minimal Surfaces in Riemannian Manifolds

      • Guangyin Wang
      Pages 104-110

    9. Microlocal Analysis

      • Rouhuai Wang, Shuxing Chen
      Pages 111-126

    10. Nonlinear Partial Differential Equations in Physics and Mechanics

      • Yulin Zhou, Boling Guo
      Pages 127-159

  4. Back Matter

    Pages 182-182
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Keywords

About this book

In the past few years there has been a fruitful exchange of expertise on the subject of partial differential equations (PDEs) between mathematicians from the People's Republic of China and the rest of the world.
The goal of this collection of papers is to summarize and introduce the historical progress of the development of PDEs in China from the 1950s to the 1980s. The results presented here were mainly published before the 1980s, but, having been printed in the Chinese language, have not reached the wider audience they deserve. Topics covered include, among others, nonlinear hyperbolic equations, nonlinear elliptic equations, nonlinear parabolic equations, mixed equations, free boundary problems, minimal surfaces in Riemannian manifolds, microlocal analysis and solitons.
For mathematicians and physicists interested in the historical development of PDEs in the People's Republic of China.

Editors and Affiliations

  • Fudan University, Shanghai, China

    Chaohao Gu

  • Institute of Applied Mathematics, Academia Sinica, Beijing, China

    Xiaxi Ding

  • Department of Mathematics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong

    Chung-Chun Yang

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