Surface Evolution Equations is popular PDF and ePub book, written by Yoshikazu Giga in 2006-03-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Surface Evolution Equations can be Read Online from any device for your convenience.
Surface Evolution Equations Book PDF 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. 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.
Detail Book of Surface Evolution Equations PDF
- Author : Yoshikazu Giga
- Release : 30 March 2006
- Publisher : Springer Science & Business Media
- ISBN : 9783764373917
- Genre : Mathematics
- Total Page : 264 pages
- Language : English
- PDF File Size : 12,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Surface Evolution Equations by Yoshikazu Giga, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.