Piermarco Cannarsa Carlo Sinestrari Carlo Sinestrari
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...
Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider ran...
Piermarco Cannarsa Piermarco Cannarsa Carlo Sinestrari
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...
Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider ran...
Il testo intende fornire un introduzione alla teoria della misura e all analisi funzionale. E in particolare pensato per i corsi universitari triennali e della laurea Specialistica in Matematica e Ingegneria. L'impostazione della teoria della misura e di tipo astratto, intesa ad arrivare rapidamente al classico teorema di estensione delle funzioni d'insieme sigma-additive, strumento di uso frequentissimo in probabilita. Essa presuppone una qualche conoscenza dell'integrale di Lebesgue in spazi euclidei, anche se la costruzione di quest'ultimo viene richiamata nel testo insieme alle sue...
Il testo intende fornire un introduzione alla teoria della misura e all analisi funzionale. E in particolare pensato per i corsi universitari trien...
This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 ("Mathematics of Planet Earth 2013"). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations,...
This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to pla...
Since the Fifties of the last Century, Control Theory has established itself as a powerful mathematical discipline, particularly fit for applications invarious applied research fields, including advanced engineering design, economics, medical sciences and population biology. However, Control Theory is not only limited to a powerfultool for a growing number of applications. In fact, since the emerging of this discipline, the need of rethinking and extending fields such as Calculus of Variations, Differential Geometry, Non smooth Analysis is permanently parallel to investigations devoted to...
Since the Fifties of the last Century, Control Theory has established itself as a powerful mathematical discipline, particularly fit for applications ...
This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures.
This textbook...
This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a u...
Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences.
Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of researc...
