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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets (Paperback, 1st ed. 2019)
Loot Price: R1,589
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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets (Paperback, 1st ed. 2019)
Series: Frontiers in Mathematics
Expected to ship within 10 - 15 working days
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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.
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