The unique characteristic of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is to say, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This interrelation is traced through study of the asymptotics of the solutions of the respective initial boundaryvalue problems both with respect to time and the governing parameters of the problem. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both graduate students and researchers alike.
本书为英文版。
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喜欢这本书，第四章的不变量变换让人感慨。解方程的同时如果知道了变分和曲面基本理解，很多方程就形象化了。微分几何对微分方程的反作用之大过去没有理解到。椭圆方程和抛物方程之间的联系竟然是极限关系
评分喜欢这本书，第四章的不变量变换让人感慨。解方程的同时如果知道了变分和曲面基本理解，很多方程就形象化了。微分几何对微分方程的反作用之大过去没有理解到。椭圆方程和抛物方程之间的联系竟然是极限关系
评分喜欢这本书，第四章的不变量变换让人感慨。解方程的同时如果知道了变分和曲面基本理解，很多方程就形象化了。微分几何对微分方程的反作用之大过去没有理解到。椭圆方程和抛物方程之间的联系竟然是极限关系
评分喜欢这本书，第四章的不变量变换让人感慨。解方程的同时如果知道了变分和曲面基本理解，很多方程就形象化了。微分几何对微分方程的反作用之大过去没有理解到。椭圆方程和抛物方程之间的联系竟然是极限关系
评分喜欢这本书，第四章的不变量变换让人感慨。解方程的同时如果知道了变分和曲面基本理解，很多方程就形象化了。微分几何对微分方程的反作用之大过去没有理解到。椭圆方程和抛物方程之间的联系竟然是极限关系
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