Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control (Progress in Nonlinear Differential Equations and Their Applications, 58)

* A comprehensive and systematic exposition of the properties of semiconcave functions and their various applications, particularly to optimal control problems, by leading experts in the field * A central role in the present work is reserved for the study of singularities * Graduate students and researchers in optimal control, the calculus of variations, and PDEs will find this book useful as a reference work on modern dynamic programming for nonlinear control systems

Science & Math

Cannarsa, Piermarco

Sinestrari, Carlo

Mathematics

Birkhauser

Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the core of the study of differentiable manifolds. Several very important open problems and conjectures come from this area and the techniques described herein are used to face and solve some of them.  The book’s four chapters are based on lectures given by leading researchers in the field of geometric analysis and low-dimensional geometry/topology, respectively offering an introduction to: the differentiable sphere theorem (G. Besson), the geometrization of 3-manifolds (M. Boileau), the singularities of 3-dimensional Ricci flows (C. Sinestrari), and Kähler–Ricci flow (G. Tian). The lectures will be particularly valuable to young researchers interested in differential manifolds.

Ricci Flow and Geometric Applications: Cetraro, Italy 2010 (C.I.M.E. Foundation Subseries)

Besson, Gerard

Tian, Gang

Boileau, Michel

Springer

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