| 書(shū)目名稱(chēng) | Weakly Differentiable Functions | | 副標(biāo)題 | Sobolev Spaces and F | | 編輯 | William P. Ziemer | | 視頻video | http://file.papertrans.cn/1022/1021369/1021369.mp4 | | 叢書(shū)名稱(chēng) | Graduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | The term "weakly differentiable functions" in the title refers to those inte- n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP 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 func- tions), 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, a | | 出版日期 | Textbook 1989 | | 關(guān)鍵詞 | Derivative; Potential theory; calculus; compactness; differential equation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-1015-3 | | isbn_softcover | 978-1-4612-6985-4 | | isbn_ebook | 978-1-4612-1015-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1989 |
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