Curves and surfaces

Free or moving boundary problems are common in may areas of mathematics and science, including shape optimization, phase transitions, fluid dynamics, probability and statistics. This text covers such topics in free boundary problems as elliptic problems (such as viscosity solutions and they asymptotic developments), evolution problems (such as Lipschitz free boundaries), main tools such as the boundary behavior of harmonic functions and caloric functions and monotonicity formulas and their applications. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)