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关键词:
An Introduction to Partial Differential Equations
书目信息
ISBN:
9780387004440(13位)
中图分类号:
O1
杜威分类号:
中文译名:
偏微分方程概论
作者:
Renardy
编者:
语种:
English
出版信息
出版社:
Springer
出版地:
出版年:
2004
版本:
2nd ed.
版本类型:
原版
丛书题名:
Texts in Applied Mathematics Vol. 13
卷期:
文献信息
关键词:
Mathematics
前言:
摘要:
内容简介:
Partial differential equations are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis and algebraic topology. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in Chapter 10, and the necessary tools from functional analysis are developed within the course. The book can be used to teach a variety of different courses. This new edition features new problems throughout and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.
目次:
Introduction.- Characteristics.- Conservation Laws and Shocks.- Maximum Principles.- Distributions.- Function Spaces.- Sobolev Spaces.- Operator Theory.- Linear Elliptic Equations.- Nonlinear Elliptic Equations.- Energy Methods for Evolution Problems.- Semigroup Methods.- References.- Index.
附录:
全文链接:
读者对象:
grad.
实体信息
页码:
装帧:
hard
尺寸:
其它形态细节:
其它信息
原价:
EUR
69.9500
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
0387004440
issue:
2006JC01
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