東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Nonlocal perimeter, curvature and mi...

Mazon, Jose M.

Linked to FindBook

Google Book

Amazon

博客來

Nonlocal perimeter, curvature and minimal surfaces for measurable sets

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlocal perimeter, curvature and minimal surfaces for measurable sets/ by Jose M. Mazon, Julio Daniel Rossi, J. Julian Toledo.
Author:	Mazon, Jose M.
other author:	Rossi, Julio Daniel.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xviii, 123 p. :ill., digital ;24 cm.
[NT 15003449]:	Nonlocal Perimeter -- Nonlocal Isoperimetric Inequality -- Nonlocal Minimal Surfaces and Nonlocal Curvature -- Nonlocal Operators -- Nonlocal Cheeger and Calibrable Sets -- Nonlocal Heat Content -- A Nonlocal Mean Curvature Flow -- Bibliography -- Index.
Contained By:	Springer eBooks
Subject:	Perimeters (Geometry) -
Online resource:	https://doi.org/10.1007/978-3-030-06243-9
ISBN:	9783030062439

Nonlocal perimeter, curvature and minimal surfaces for measurable sets
Mazon, Jose M.

Nonlocal perimeter, curvature and minimal surfaces for measurable sets[electronic resource] /by Jose M. Mazon, Julio Daniel Rossi, J. Julian Toledo. - Cham :Springer International Publishing :2019. - xviii, 123 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8046. - Frontiers in mathematics..

Nonlocal Perimeter -- Nonlocal Isoperimetric Inequality -- Nonlocal Minimal Surfaces and Nonlocal Curvature -- Nonlocal Operators -- Nonlocal Cheeger and Calibrable Sets -- Nonlocal Heat Content -- A Nonlocal Mean Curvature Flow -- Bibliography -- Index.

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.

ISBN: 9783030062439

Standard No.: 10.1007/978-3-030-06243-9doiSubjects--Topical Terms:

3386944
Perimeters (Geometry)

LC Class. No.: QA465

Dewey Class. No.: 530.8

Nonlocal perimeter, curvature and minimal surfaces for measurable sets
LDR:02137nmm a2200337 a 4500 001 2180657
003 DE-He213
005 20190410074625.0
006 m d
007 cr nn 008maaau
008 191122s2019 gw s 0 eng d
020 $a 9783030062439 $q (electronic bk.)
020 $a 9783030062422 $q (paper)
024 7 $a 10.1007/978-3-030-06243-9 $2 doi
035 $a 978-3-030-06243-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA465
072 7 $a PBKL $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKL $2 thema
082 0 4 $a 530.8 $2 23
090 $a QA465 $b .M476 2019
100 1 $a Mazon, Jose M. $3 3386941
245 1 0 $a Nonlocal perimeter, curvature and minimal surfaces for measurable sets $h [electronic resource] / $c by Jose M. Mazon, Julio Daniel Rossi, J. Julian Toledo.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2019.
300 $a xviii, 123 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8046
505 0 $a Nonlocal Perimeter -- Nonlocal Isoperimetric Inequality -- Nonlocal Minimal Surfaces and Nonlocal Curvature -- Nonlocal Operators -- Nonlocal Cheeger and Calibrable Sets -- Nonlocal Heat Content -- A Nonlocal Mean Curvature Flow -- Bibliography -- Index.
520 $a 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.
650 0 $a Perimeters (Geometry) $3 3386944
650 0 $a Curvature. $3 711378
650 1 4 $a Integral Equations. $3 897446
650 2 4 $a Measure and Integration. $3 891263
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 898674
650 2 4 $a Partial Differential Equations. $3 890899
700 1 $a Rossi, Julio Daniel. $3 3386942
700 1 $a Toledo, J. Julian. $3 3386943
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Frontiers in mathematics. $3 1535268
856 4 0 $u https://doi.org/10.1007/978-3-030-06243-9
950 $a Mathematics and Statistics (Springer-11649)