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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets (Frontiers in Mathematics) - Softcover
Inhaltsangabe
<P>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.&NBSP;</P><P>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.&NBSP;</P><P>GIVEN ITS SCOPE, THE BOOK IS INTENDED FOR UNDERGRADUATE AND GRADUATE STUDENTS, AS WELL AS SENIOR RESEARCHERS INTERESTED IN ANALYSIS AND/OR GEOMETRY.</P><P></P><BR>
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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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- VerlagBirkhäuser
- Erscheinungsdatum2019
- ISBN 10 3030062422
- ISBN 13 9783030062422
- EinbandTapa blanda
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten144
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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets.
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XVIII, 123 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Frontiers in Mathematics. Sprache: Englisch. Artikel-Nr. 3212MB
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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets (Frontiers in Mathematics)
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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
ISBN 10: 3030062422
ISBN 13: 9783030062422
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783030062422
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