Surface Evolution Equations A Level Set Approach

Auteur: Yoshikazu Giga
Taal: Engels
Surface Evolution Equations
  • Engels
  • Hardcover
  • 9783764324308
  • Druk: 2006
  • januari 2006
  • 264 pagina's
Alle productspecificaties

Samenvatting

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 lessknown,they 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.

Recensie(s)

In view of its detailed and thorough presentation this book will be a valuable source for everyone interested in the level set approach to surface evolution equations. Zentralblatt MATH

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Hardcover
Druk
2006
Verschijningsdatum
2006-01-01
Aantal pagina's
264 pagina's
Illustraties
Nee

Betrokkenen

Auteur
Yoshikazu Giga
Uitgever
Birkhauser Verlag Ag

Vertaling

Originele Titel
Surface Evolution Equations: A Level Set Approach

EAN

EAN
9783764324308

Overige kenmerken

Extra groot lettertype
Nee
NUR code
918
Oorspronkelijke releasedatum
2006-01-19
Subtitel
A Level Set Approach
Thema Subject Code
PBKJ

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