| 书目名称 | Surface Evolution Equations |
| 副标题 | A Level Set Approach |
| 编辑 | Yoshikazu Giga |
| 视频video | |
| 概述 | Presents results in a synthetic way with full proofs.The audience is introduced to details of the theory as well as to its flavour.No familiarity with differential geometry or the theory of viscosity |
| 丛书名称 | Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .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 geometr |
| 出版日期 | Book 2006Latest edition |
| 关键词 | Evolution equations; Level set method; Viscosity theory; curvature; differential geometry; partial differ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-7643-7391-1 |
| isbn_ebook | 978-3-7643-7391-7Series ISSN 1017-0480 Series E-ISSN 2296-4886 |
| issn_series | 1017-0480 |
| copyright | Birkhäuser Basel 2006 |
发表于 2025-3-21 16:40:13
