Hidden Bibliographic Details
ISBN: | 9783764373917 3764373911 9786610607952 6610607958 3764324309 (Cloth) 9783764324308 (Cloth)
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Notes: | Includes bibliographical references (p. [243]-260) and indexes. Description based on print version record.
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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.
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Other form: | Print version: Giga, Yoshikazu. Surface evolution equations. Basel, Switzerland ; Boston [Mass.] : Birkhäuser Verlag, c2006 3764324309 3764373911
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