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Surface Evolution Equations A Level Set Approach 2006 Edition at Meripustak

Surface Evolution Equations A Level Set Approach 2006 Edition

Books from same Author: Yoshikazu Giga

Books from same Publisher: Birkhauser

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    • General Information  
    Author(s)Yoshikazu Giga
    PublisherBirkhauser
    ISBN9783764324308
    Pages264
    BindingHardback
    LanguageEnglish
    Publish YearAugust 2006

    Description

    Birkhauser Surface Evolution Equations A Level Set Approach 2006 Edition by Yoshikazu Giga

    This book is intended to be a self-contained introduction to analytic foundations of a level set method for various surface evolution equations including curvature ?ow equations. These equations are important in various ?elds including material sciences image processing and di?erential geometry. The goal of this book is to introduce a generalized notion of solutions allowing singularities and solve the initial-value problem globally-in-time in a generalized sense. Various equivalent de?nitions of solutions are studied. Several new results on equivalence are also presented. Wepresentherearathercompleteintroductiontothetheoryofviscosityso- tionswhichis a keytoolforthe levelsetmethod. Alsoa self-containedexplanation isgivenforgeneralsurfaceevolutionequationsofthe secondorder.Althoughmost ofthe resultsin this book aremoreor lessknownthey arescatteredinseveralr- erences sometimes without proof. This book presents these results in a synthetic way with full proofs. However the references are not exhaustive at all. The book is suitable for applied researchers who would like to know the detail of the theory as well as its ?avour.No familiarity with di?erential geometry and the theory of viscosity solutions is required.The prerequisites are calculus linear algebra and some familiarity with semicontinuous functions. This book is also suitable for upper level under graduate students who are interested in the ?eld. Table of contents : Surface evolution equations.- Viscosity solutions.- Comparison principle.- Classical level set method.- Set-theoretic approach.