Verlag:
Springer Verlag Unsere-Artikel-Nr.: P36394402
EAN: 9783032203021
Erhältlich:
Nicht auf Lager
Zustellung: Fr, 02.10.2026
Versand: Kostenlos
-15.7 %
CHF 198.–
CHF 167.–
Beschreibung
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.
Spezifikationen
Sprache
- Englisch
Autor
- Qing Liu
- Yoshikazu Giga
Zielgruppe
- Research
Erscheinungsjahr
- 2026
Format
- Buch (Hardcover)
Anzahl Seiten
- 392