Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations (Record no. 48259)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03066nam a22004457a 4500 |
| 001 - CONTROL NUMBER | |
| control field | sulb-eb0026167 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | BD-SySUS |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20160413122614.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 140513s2013 it | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9788876424298 |
| -- | 978-88-7642-429-8 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-88-7642-429-8 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA440-699 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBM |
| Source | bicssc |
| Subject category code | MAT012000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bellettini, Giovanni. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | by Giovanni Bellettini. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Pisa : |
| Name of producer, publisher, distributor, manufacturer | Scuola Normale Superiore : |
| -- | Imprint: Edizioni della Normale, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | Approx. 350 p. |
| Other physical details | online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Publications of the Scuola Normale Superiore ; |
| Volume/sequential designation | 12 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Signed distance from a smooth boundary -- Mean curvature vector and second fundamental form -- First variations of volume integrals and of the perimeter -- Smooth mean curvature flows -- Huisken’s monotonicity formula -- Inclusion principle. Local well posedness: the approach of Evans–Spruck -- Grayson’s example -- De Giorgi’s barriers -- Inner and outer regularizations -- An example of fattening -- Ilmanen’s interposition lemma -- The avoidance principle -- Comparison between barriers and a generalized evolution -- Barriers and level set evolution -- Parabolic singular perturbations: formal matched asymptotics, convergence and error estimate. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most important aspects of mean curvature flow are described, such as the comparison principle and its use in the definition of suitable weak solutions. The anisotropic evolutions, which can be considered as a generalization of mean curvature flow, are studied from the view point of Finsler geometry. Concerning singular perturbations, we discuss the convergence of the Allen–Cahn (or Ginsburg–Landau) type equations to (possibly anisotropic) mean curvature flow before the onset of singularities in the limit problem. We study such kinds of asymptotic problems also in the static case, showing convergence to prescribed curvature-type problems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| Topical term or geographic name as entry element | Geometry. |
| Topical term or geographic name as entry element | Mathematics. |
| Topical term or geographic name as entry element | Geometry. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9788876424281 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Publications of the Scuola Normale Superiore ; |
| Volume number/sequential designation | 12 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-88-7642-429-8">http://dx.doi.org/10.1007/978-88-7642-429-8</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | |
No items available.