Capuzzo Dolcetta, I. (Italo) 1948
Overview
Works:  13 works in 75 publications in 3 languages and 1,350 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Thesis advisor 
Classifications:  QA3, 515.64 
Publication Timeline
.
Most widely held works by
I Capuzzo Dolcetta
Recent mathematical methods in dynamic programming : proceedings of the conference held in Rome, Italy, March 2628, 1984 by
I Capuzzo Dolcetta(
Book
)
21 editions published between 1984 and 1985 in English and German and held by 393 WorldCat member libraries worldwide
21 editions published between 1984 and 1985 in English and German and held by 393 WorldCat member libraries worldwide
Optimal control and viscosity solutions of HamiltonJacobiBellman equations by
M Bardi(
Book
)
22 editions published between 1997 and 2013 in English and Italian and held by 299 WorldCat member libraries worldwide
This book is a selfcontained account of the theory of viscosity solutions for firstorder partial differential equations of HamiltonJacobi type and its interplay with Bellmans dynamic programming approach to optimal control and differential games, as it developed after the beginning of the 1980s with the pioneering work of M. Crandall and P.L. Lions. The book will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. In particular, it will appeal to system theorists wishing to learn about a mathematical theory providing a correct framework for the classical method of dynamic programming as well as mathematicians interested in new methods for firstorder nonlinear PDEs. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an uptodate reference book. "The exposition is selfcontained, clearly written and mathematically precise. The exercises and open problemswill stimulate research in the field. The rich bibliography (over 530 titles) and the historical notes provide a useful guide to the area." Mathematical Reviews "With an excellent printing and clear structure (including an extensive subject and symbol registry) the book offers a deep insight into the praxis and theory of optimal control for the mathematically skilled reader. All sections close with suggestions for exercisesFinally, with more than 500 cited references, an overview on the history and the main works of this modern mathematical discipline is given." ZAA "The minimal mathematical background ... the detailed and clear proofs, the elegant style of presentation, and the sets of proposed exercises at the end of each section recommend this book, in the first place, as a lecture course for graduate students and as a manual for beginners in the field. However, this status is largely extended by the presence of many advanced topics and results by the fairly comprehensive and uptodate bibliography and, particularly, by the very pertinent historical and bibliographical comments at the end of each chapter. In my opinion, this book is yet another remarkable outcome of the brilliant Italian School of Mathematics." Zentralblatt MATH "The book is based on some lecture notes taught by the authors at several universities ... and selected parts of it can be used for graduate courses in optimal control. But it can be also used as a reference text for researchers (mathematicians and engineers) ... In writing this book, the authors lend a great service to the mathematical community providing an accessible and rigorous treatment of a difficult subject." Acta Applicandae Mathematicae
22 editions published between 1997 and 2013 in English and Italian and held by 299 WorldCat member libraries worldwide
This book is a selfcontained account of the theory of viscosity solutions for firstorder partial differential equations of HamiltonJacobi type and its interplay with Bellmans dynamic programming approach to optimal control and differential games, as it developed after the beginning of the 1980s with the pioneering work of M. Crandall and P.L. Lions. The book will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. In particular, it will appeal to system theorists wishing to learn about a mathematical theory providing a correct framework for the classical method of dynamic programming as well as mathematicians interested in new methods for firstorder nonlinear PDEs. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an uptodate reference book. "The exposition is selfcontained, clearly written and mathematically precise. The exercises and open problemswill stimulate research in the field. The rich bibliography (over 530 titles) and the historical notes provide a useful guide to the area." Mathematical Reviews "With an excellent printing and clear structure (including an extensive subject and symbol registry) the book offers a deep insight into the praxis and theory of optimal control for the mathematically skilled reader. All sections close with suggestions for exercisesFinally, with more than 500 cited references, an overview on the history and the main works of this modern mathematical discipline is given." ZAA "The minimal mathematical background ... the detailed and clear proofs, the elegant style of presentation, and the sets of proposed exercises at the end of each section recommend this book, in the first place, as a lecture course for graduate students and as a manual for beginners in the field. However, this status is largely extended by the presence of many advanced topics and results by the fairly comprehensive and uptodate bibliography and, particularly, by the very pertinent historical and bibliographical comments at the end of each chapter. In my opinion, this book is yet another remarkable outcome of the brilliant Italian School of Mathematics." Zentralblatt MATH "The book is based on some lecture notes taught by the authors at several universities ... and selected parts of it can be used for graduate courses in optimal control. But it can be also used as a reference text for researchers (mathematicians and engineers) ... In writing this book, the authors lend a great service to the mathematical community providing an accessible and rigorous treatment of a difficult subject." Acta Applicandae Mathematicae
Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.)
held in Montecatini Terme, Italy, June 1220, 1995 by
M Bardi(
Book
)
20 editions published in 1997 in English and held by 265 WorldCat member libraries worldwide
The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a stateoftheart reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. Potential readers are researchers in nonlinear PDE's, systems theory, stochastic processes
20 editions published in 1997 in English and held by 265 WorldCat member libraries worldwide
The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a stateoftheart reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. Potential readers are researchers in nonlinear PDE's, systems theory, stochastic processes
L'analisi al calcolatore : il personal computer nel laboratorio di matematica by
I Capuzzo Dolcetta(
Book
)
1 edition published in 1990 in Italian and held by 13 WorldCat member libraries worldwide
1 edition published in 1990 in Italian and held by 13 WorldCat member libraries worldwide
Lezioni di ottimizzazione by
I Capuzzo Dolcetta(
Book
)
1 edition published in 2013 in Italian and held by 3 WorldCat member libraries worldwide
1 edition published in 2013 in Italian and held by 3 WorldCat member libraries worldwide
HamiltonJacobi equations and stateconstraints problems by
University of Minnesota(
Book
)
2 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
Optimal stopping of a multivalued dynamical system and applications to a portfolio model by
I Capuzzo Dolcetta(
Book
)
1 edition published in 1982 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1982 in English and held by 2 WorldCat member libraries worldwide
Percorsi incrociati : (in ricordo di Vittorio Cafagna)(
Book
)
2 editions published in 2010 in Italian and held by 2 WorldCat member libraries worldwide
2 editions published in 2010 in Italian and held by 2 WorldCat member libraries worldwide
Generalized principal eigenvalue in unbounded domains and its applications to nonlinear elliptic and parabolic problems by Luca Rossi(
Book
)
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
Cette thèse traite différents sujets de la théorie des équations aux dérivées partielles elliptiques et paraboliques. La partie centrale est dédiée à l'étude de la validité de théorèmes de type Liouville pour opérateurs elliptiques linéaires, semi linéaires et complètement non linéaires. Avec "théorèmes de type Liouville" on entend l'unicité (multiplication par une constante près dans le cas des équations linéaires) des solutions bornées (parfois positives) d'une équation elliptique dans un domaine non borné, en analogie avec le théorème classique pour fonctions harmoniques. Nous avons montré que le théorème de type Liouville est valable pour les opérateurs linéaires à coefficients périodiques dans tout l'espace et il n'est plus valable en générale si les coefficients sont seulement presque périodiques.Pour démontrer des théorèmes de Liouville pour des équations semi linéaires on a du introduire des notions qui généralisent celle de la valeur propre principale. Les définitions et l'étude des propriétés de ces valeurs propres principales généralisées font l'objet de la première partie de la thèse, qui est la plus abstraite. La partie regardante les équations elliptiques est conclue par des résultats d'unicité de solutions de viscosité non négatives pour une classe d'équations complètement non linéaires. Le dernier sujet traité dans la thèse est celui des équations de réaction diffusion et, en particulier, de l'étude du comportement des solutions à long terme. L'un des résultats présentés regarde des équations avec vitesse forcée, qui interviennent dans plusieurs modèles de mathématiques appliquées, notamment en écologie
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
Cette thèse traite différents sujets de la théorie des équations aux dérivées partielles elliptiques et paraboliques. La partie centrale est dédiée à l'étude de la validité de théorèmes de type Liouville pour opérateurs elliptiques linéaires, semi linéaires et complètement non linéaires. Avec "théorèmes de type Liouville" on entend l'unicité (multiplication par une constante près dans le cas des équations linéaires) des solutions bornées (parfois positives) d'une équation elliptique dans un domaine non borné, en analogie avec le théorème classique pour fonctions harmoniques. Nous avons montré que le théorème de type Liouville est valable pour les opérateurs linéaires à coefficients périodiques dans tout l'espace et il n'est plus valable en générale si les coefficients sont seulement presque périodiques.Pour démontrer des théorèmes de Liouville pour des équations semi linéaires on a du introduire des notions qui généralisent celle de la valeur propre principale. Les définitions et l'étude des propriétés de ces valeurs propres principales généralisées font l'objet de la première partie de la thèse, qui est la plus abstraite. La partie regardante les équations elliptiques est conclue par des résultats d'unicité de solutions de viscosité non négatives pour une classe d'équations complètement non linéaires. Le dernier sujet traité dans la thèse est celui des équations de réaction diffusion et, en particulier, de l'étude du comportement des solutions à long terme. L'un des résultats présentés regarde des équations avec vitesse forcée, qui interviennent dans plusieurs modèles de mathématiques appliquées, notamment en écologie
Modelli matematici per il trattamento delle immagini by
I Capuzzo Dolcetta(
)
1 edition published in 1998 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 1998 in Italian and held by 1 WorldCat member library worldwide
On the regular solution of a nonlinear parabolic quasi variational inequality related to a stochastic control problem by
M Matzeu(
Book
)
1 edition published in 1979 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 1979 in Italian and held by 1 WorldCat member library worldwide
ECM/87, educational computing in mathematics : proceedings of the International Congress on Educational Computing in Mathematics,
Rome, Italy, 46 June, 1987 by
International Conference on Environmentally Conscious Manufacturing(
Book
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Optimal control and viscosity solutions of HamiltonJacobiBellman by
M Bardi(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

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Kids  General  Special 
Related Identities
 Bardi, M. (Martino) Other Author
 Fleming, Wendell H. (Wendell Helms) 1928 Other Editor
 Zolezzi, T. (Tullio) 1942 Other Editor
 Lions, P. L. (PierreLouis) Other Editor
 Centro internazionale matematico estivo Other
 Centro internazionale matematico estivo Session 1995 : MontecatiniTerme, Italie)
 Falcone, Maurizio
 Crandall, Michael G
 Evans, Lawrence C
 Souganidis, Panagiotis E
Associated Subjects
Computer science Control theory Differential equations, Elliptic Differential equations, Partial Differential games Distribution (Probability theory) Dynamic programming Mathematical optimization Mathematics MathematicsComputerassisted instruction MathematicsStudy and teaching (Higher) Viscosity solutions
Alternative Names
Capuzzo Dolcetta, I.
Capuzzo Dolcetta, I. 1948
CapuzzoDolcetta, Italo
CapuzzoDolcetta, Italo 1948
Dolcetta, I. Capuzzo
Dolcetta, I. Capuzzo 1948
Dolcetta, I. Capuzzo (Italo Capuzzo), 1948
Dolcetta, Italo Capuzzo.
Dolcetta, Italo Capuzzo 1948
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