本书包括6章正文和5个附录,主要介绍有物理背景的一些非线性偏微分方程孤立子解形成的机理,求解这类方程的反散射变换方法,Backlund变换方法,相似约化方法,若干种函数变换方法 ...

本书分为六章,包括:带弱条件的非线性椭圆方程与方程组,高阶椭圆型方程组,可测系数的二阶非线性非散度型抛物型方程等.

本书介绍了这种理论将方程的求解问题转化为有关的拓扑学问题的具体方法和步骤,给出了适定问题的计算程序;讨论了流体力学中几类重要的非线性偏微分方程,包括一般流体的Landau- ...

本书论述了一些重要的常微分方程和偏微分方程边值问题的解的存在性和唯一性,包括非共振问题、共振问题、强共振问题和特征线问题及其扰动。

本书共分六章,介绍了求解非线性数理方程的途径,求非线性偏微分方程(含方程组)解析的方法。

本书是一本英文版的非线性双曲型偏微分方程讲义。

Nonlinear Partial Differential Equations in Applied Science

Praise for the First Edition: "This book is well conceived and well written.

The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions.

This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem ...