Partial Differential Equations in China

✍ Scribed by Yazhe Chen (auth.), Chaohao Gu, Xiaxi Ding, Chung-Chun Yang (eds.)

• Publisher: Springer Netherlands
• Year: 1994
• Tongue: English
• Leaves: 192
• Series: Mathematics and Its Applications 288
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-x
Degenerate Parabolic and Elliptic Equations....Pages 1-18
Nonlinear Hyperbolic Conservation Laws....Pages 19-29
Elliptic and Parabolic Equations....Pages 30-41
Viscosity Solutions of Fully Nonlinear Elliptic and Parabolic Equations....Pages 42-49
Some Developments of the Theory of Mixed PDEs....Pages 50-66
Free Boundary Problems....Pages 67-79
The Generalized Riemann Problem for Quasilinear Hyperbolic Systems of Conservation Laws....Pages 80-103
Minimal Surfaces in Riemannian Manifolds....Pages 104-110
Microlocal Analysis....Pages 111-126
Nonlinear Partial Differential Equations in Physics and Mechanics....Pages 127-159
Solitons and Exactly Solvable Nonlinear Evolution Equations....Pages 160-172
The Systems of Second Order Partial Differential Equations with Constant Coefficients....Pages 173-181
Back Matter....Pages 182-182

✦ Subjects

Partial Differential Equations;Applications of Mathematics;Classical Continuum Physics;Mechanics