Partial Differential Equations in China

ISBN-13: 9789401045247 / Angielski / Miękka / 2013 / 182 str.

Chaohao Gu;Xiaxi Ding;Yang Chung-Chun

Opis

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.

Spis treści

Preface. Part One: Survey Papers. Degenerate Parabolic and Elliptic Equations; Yazhe Chen. Nonlinear Hyperbolic Conservation Laws; Xiaxi Ding, Tong Zhang. Elliptic and Parabolic Equations; Guangcang Dong. Viscosity Solutions of Fully Nonlinear Elliptic and Parabolic Equations; Guangcang Dong, Baojun Bian. Some Developments of the Theory of Mixed PDEs; Chaohao Gu, Jiaxing Hong. Free Boundary Problems; Lishang Jiang. The Generalized Riemann Problem for Quasilinear Hyperbolic Systems of Conservation Laws; Ta-tsien Li. Minimal Surfaces in Riemannian Manifolds; Guangyin Wang. Microlocal Analysis; Rouhuai Wang, Shuxing Chen. Nonlinear Partial Differential Equations in Physics and Mechanics; Yulin Zhou, Boling Guo. Part Two: Short Communications. Solitons and Exactly Solvable Nonlinear Evolution Equations; Yi Cheng, Yishen Li. The Systems of Second Order Partial Differential Equations with Constant Coefficients; Wei Lin, Ciquian Wu.