This monograph 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. For the Second Edition, new chapters have been added that ...
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This monograph 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. For the Second Edition, new chapters have been added that describe a recent approach to surface evolution equations based on deterministic discrete two-person games. This game-theoretic interpretation is used to discuss the fattening phenomenon for the curvature flow equation and to provide an alternative proof for convexity preserving properties. This text is suitable for applied researchers who would like to know the detail of the theory, as well as its flavor; it is also suitable for graduate students interested in the field. Prerequisites include calculus, linear algebra, and some familiarity with semicontinuous functions. Familiarity with differential geometry and the theory of viscosity solutions is not required.
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Add this copy of Surface Evolution Equations: A Level Set Approach to cart. $178.08, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2026 by Birkhauser.
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New. Print on demand Contains: Illustrations, color. Monographs in Mathematics . XIV, 392 p. 1 illus. in color. Intended for college/higher education audience.
Add this copy of Surface Evolution Equations to cart. $123.37, new condition, Sold by Educational Media Centre rated 4.0 out of 5 stars, ships from New Delhi, DELHI, INDIA, published 2006 by Birkhauser.
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Add this copy of Surface Evolution Equations: a Level Set Approach to cart. $225.31, new condition, Sold by GridFreed rated 5.0 out of 5 stars, ships from San Diego, CA, UNITED STATES, published 2006 by Birkhäuser.
