Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

Mazón, José M.
Rossi, Julio Daniel
Toledo, J. Julián

Paperback

Series: Frontiers in Mathematics

CalculusGeneral Mathematics

ISBN10: 3030062422
ISBN13: 9783030062422
Publisher: Birkhauser
Published: Apr 29 2019
Pages: 123
Weight: 0.53
Height: 0.31 Width: 6.69 Depth: 9.61
Language: English

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.

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