Surface evolution equations : a level set approach
This book presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations including curvature flow equations. These equations are important in many applications, such as material sciences, image processing and differential geometry. T...
محفوظ في:
| المؤلف الرئيسي: | |
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Basel :
Birkhäuser Basel
2006.
Cham : Springer Nature |
| الطبعة: | 1st ed. 2006. |
| سلاسل: | Monographs in Mathematics
99 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Description d'après consultation du 27 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Surface evolution equations, a level set approach, Yoshikazu Giga, Basel, Birkhäuser, 2006, 1 vol. (XII-264 p.), Monographs in mathematics, 3-7643-2430-9 • Surface Evolution Equations, Texte imprimé, 9783764390082 • Surface evolution equations, a level set approach, Yoshikazu Giga, Basel, Birkhäuser, 2006, 1 vol. (XII-264 p.), Monographs in mathematics, 3-7643-2430-9 |
| الملخص: | This book presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations including curvature flow equations. These equations are important in many applications, such as material sciences, image processing and differential geometry. The goal is to introduce a generalized notion of solutions allowing singularities, and to solve the initial-value problem globally-in-time in a generalized sense. Various equivalent definitions of solutions are studied. Several new results on equivalence are also presented. Moreover, structures of level set equations are studied in detail. Further, a rather complete introduction to the theory of viscosity solutions is contained, which is a key tool for the level set approach. Although most of the results in this book are more or less known, they are scattered in several references, sometimes without proofs. This book presents these results in a synthetic way with full proofs. The intended audience are graduate students and researchers in various disciplines who would like to know the applicability and detail of the theory as well as its flavour. No familiarity with differential geometry or the theory of viscosity solutions is required. Only prerequisites are calculus, linear algebra and some basic knowledge about semicontinuous functions. |
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| وصف المادة: | Description d'après consultation du 27 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| بيبلوغرافيا: | Bibliogr. p. [243]-260. Index |
| ردمك: | 3764373911 9783764373917 |
| تدمد: | 2296-4886 |
| وصول: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |