<電子ブック>
Surface Evolution Equations : A Level Set Approach / by Yoshikazu Giga
(Monographs in Mathematics. ISSN:22964886 ; 99)
版 | 1st ed. 2006. |
---|---|
出版者 | Basel : Birkhäuser Basel : Imprint: Birkhäuser |
出版年 | 2006 |
本文言語 | 英語 |
大きさ | XII, 264 p : online resource |
著者標目 | *Giga, Yoshikazu author SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Geometry, Differential LCSH:Mathematical physics FREE:Differential Equations FREE:Differential Geometry FREE:Mathematical Methods in Physics |
一般注記 | Surface evolution equations -- Viscosity solutions -- Comparison principle -- Classical level set method -- Set-theoretic 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. 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 HTTP:URL=https://doi.org/10.1007/3-7643-7391-1 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783764373917 |
|
電子リソース |
|
EB00233024 |
類似資料
この資料の利用統計
このページへのアクセス回数:3回
※2017年9月4日以降