Surface evolution equations : a level set approach /

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Bibliographic Details
Author / Creator:Giga, Yoshikazu.
Imprint:Basel, Switzerland ; Boston [Mass.] : Birkhäuser Verlag, c2006.
Description:1 online resource (xii, 264 p.) : ill.
Language:English
Series:Monographs in mathematics ; v. 99
Monographs in mathematics ; v. 99.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8880384
Hidden Bibliographic Details
ISBN:9783764373917
3764373911
9786610607952
6610607958
3764324309 (Cloth)
9783764324308 (Cloth)
Notes:Includes bibliographical references (p. [243]-260) and indexes.
Description based on print version record.
Summary:"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."--Jacket.
Other form:Print version: Giga, Yoshikazu. Surface evolution equations. Basel, Switzerland ; Boston [Mass.] : Birkhäuser Verlag, c2006 3764324309 3764373911