| 書目名稱 | Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets | | 編輯 | José M. Mazón,Julio Daniel Rossi,J. Julián Toledo | | 視頻video | http://file.papertrans.cn/668/667799/667799.mp4 | | 概述 | Contains the first systematic presentation of nonlocal curvature and perimeter for measurable sets.With applications to minimal surfaces.Nonlocal heat content is also studied | | 叢書名稱 | Frontiers in Mathematics | | 圖書封面 |  | | 描述 | .This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them.?.These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately rescaled, they converge toward the classical perimeter and curvature as the rescaling parameter tends to zero. In this way, the usual notions can be recovered by using the nonlocal ones. In addition, nonlocal heat content is studied and an asymptotic expansion is obtained.?.Given its scope, the book is intended for undergraduate and graduate students, as well as senior researchers interested in analysis and/or geometry.. | | 出版日期 | Book 2019 | | 關鍵詞 | sets of finite perimeter; nonlocal operators; cheeger sets; calibrable sets; heat content; nonlocal evolu | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-06243-9 | | isbn_softcover | 978-3-030-06242-2 | | isbn_ebook | 978-3-030-06243-9Series ISSN 1660-8046 Series E-ISSN 1660-8054 | | issn_series | 1660-8046 | | copyright | Springer Nature Switzerland AG 2019 |
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