Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
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Sprache:Englisch
Fr. 81.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
29.04.2019
Abbildungen
XVIII, 2 illus., 1 illus. in color., farbige Illustrationen, schwarz-weiss Illustrationen
Verlag
SpringerSeitenzahl
123
Maße (L/B/H)
24/16.8/0.9 cm
Gewicht
257 g
Auflage
1st ed. 2019
Sprache
Englisch
ISBN
978-3-030-06242-2
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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