弱可微函数 pdf epub mobi txt 电子书 下载 2024


弱可微函数

简体网页||繁体网页
W.P.Ziemer
世界图书出版公司
1999年03月
308
48.00
平装
Graduate Texts in Mathematics
9787506210225

图书标签: PDE  Mathematics  Analysis   


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发表于2024-06-17

弱可微函数 epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

弱可微函数 epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

弱可微函数 pdf epub mobi txt 电子书 下载 2024



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The term "weakly differentiable functions" in the title refers to those inte grable functions defined on an open subset of Rn whose partial derivatives in the sense of distributions are either Lr functions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev. Both classes of functions, Sobolev spaces and the space of functions of bounded variation (BV functions), have undergone considerable development during the past 20 years. From this development a rather complete theory has emerged and thus has provided the main impetus for the writing of this book. Since these classes of functions play a significant role in many fields, such as approximation theory, calculus of variations, partial differential equations, and non-linear potential theory, it is hoped that this monograph will be of assistance to a wide range of graduate students and researchers in these and perhaps other related areas. Some of the material in Chapters 1-4 has been presented in a graduate course at Indiana University during the 1987-88 academic year, and I am indebted to the students and colleagues in attendance for their helpful comments and suggestions.

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