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Titlebook: Weakly Differentiable Functions; Sobolev Spaces and F William P. Ziemer Textbook 1989 Springer Science+Business Media New York 1989 Derivat

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書目名稱Weakly Differentiable Functions
副標(biāo)題Sobolev Spaces and F
編輯William P. Ziemer
視頻videohttp://file.papertrans.cn/1022/1021369/1021369.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Weakly Differentiable Functions; Sobolev Spaces and F William P. Ziemer Textbook 1989 Springer Science+Business Media New York 1989 Derivat
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
doihttps://doi.org/10.1007/978-1-4612-1015-3
isbn_softcover978-1-4612-6985-4
isbn_ebook978-1-4612-1015-3Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 1989
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沙發(fā)
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William P. Ziemer the department of economic cybernetics of the Institute of Cybernetics of the Ukrainian Academy of Sciences under the supervision of V.S. Mikhalevich, a member of the Ukrainian Academy of Sciences, in connection with the need for solutions to important, practical problems of optimal planning and de
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William P. Ziemerh workers in networking systems as well as those in operator theory and linear multivariable control. The use of stochastic methods makes the book also of importance to the circuits and systems community. CONTENTS: Preface ? Introduction ? Preliminaries ? Induced Operator Norms ? Discrete-Time Entro
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William P. Ziemerity to better understand human mobility from spatial, temporal, social, and content aspects. The mining and understanding of human mobility can further lead to effective approaches to improve current location-based services from mobile marketing to recommender systems, providing users more convenien
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0072-5285 haps 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, a978-1-4612-6985-4978-1-4612-1015-3Series ISSN 0072-5285 Series E-ISSN 2197-5612
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發(fā)表于 2025-3-23 00:38:05 | 只看該作者
William P. Ziemerional economy. Quality of decisions is an issue which has come to the forefront, increasing the significance of optimization algorithms in math- ematical software packages for al,ltomatic systems of various levels and pur- poses. Methods for minimizing functions with discontinuous gradients are gain
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William P. Ziemer consideration by the researcher or engineer. Two popular norms that have proved useful are known as H-2 and H - infinity control. The first has been particularly applicable to problems arising in the aerospace industry. However, most industrial problems are badly modeled and the second norm proved
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