Progress in Nonlinear Differential Equations and Their Applications

Cannarsa, Piermarco; Sinestrari, Carlo

Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications. This text is the first comprehensive exposition of the theory of semiconcave functions, and of the role they play in optimal control and Hamilton-Jacobi equations.

The first part covers the general theory, encompassing all key results and illustrating them with significant examples. The latter part is devoted to applications concerning the Bolza problem in the calculus of variations and optimal exit time problems for nonlinear control systems. The exposition is essentially self-contained since the book includes all prerequisites from convex analysis, nonsmooth analysis, and viscosity solutions.

Details

Published by: Birkhäuser

Publication Date: 2004-03-22

Format: Hardcover

ISBN-13: 9780817640842

DOI: 10.1007/b138356

Dimensions: 235cm x155cm

Pages: 304