Buch, Englisch, Band 58, 304 Seiten, Format (B × H): 154 mm x 235 mm, Gewicht: 1000 g
Reihe: Progress in Nonlinear Differential Equations and Their Applications
Buch, Englisch, Band 58, 304 Seiten, Format (B × H): 154 mm x 235 mm, Gewicht: 1000 g
Reihe: Progress in Nonlinear Differential Equations and Their Applications
ISBN: 978-0-8176-4336-2
Verlag: Birkhauser Boston
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
- Mathematik | Informatik Mathematik Operations Research Spieltheorie
Weitere Infos & Material
A Model Problem.- Semiconcave Functions.- Generalized Gradients and Semiconcavity.- Singularities of Semiconcave Functions.- Hamilton-Jacobi Equations.- Calculus of Variations.- Optimal Control Problems.- Control Problems with Exit Time.
