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Springer INdAM Series

Trends in Control Theory and Partial Differential Equations

Editors: Alabau-Boussouira, F., Ancona, F., Porretta, A., Sinestrari, C. (Eds.)

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  • Presents cutting-edge results in the areas of control theory and PDEs, giving a broad picture of recent advances
  • Contains contributions from leading experts
  • Includes theoretical studies and models for applications
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eBook 67,82 €
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  • ISBN 978-3-030-17949-6
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  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-17948-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.


About the authors

Fatiha Alabau-Boussouira gained her PhD at the Pierre and Marie Curie University, Paris, in 1987. She was an Assistant Professor at the University of Bordeaux from 1988 until 1997, when she became a Full Professor at the Louis Pasteur University in Strasbourg; she subsequently moved to the University of Metz in 1999 (which became the University of Lorraine in 2012). She carries out her research at the Jacques-Louis Lions Laboratory at Sorbonne University. She is the author of more than 60 papers in mathematics analysis and applications. Her scientific interests mainly focus on the theory of control and stabilization of partial differential equations. From 2014 to 2017, she was President of the French Society of Applied and Industrial Mathematics (SMAI). She is now the head for France of the French-German-Italian LIA COPDESC on Applied Analysis.

Fabio Ancona obtained his PhD in Mathematics in 1993 at University of Colorado at Boulder. He was a Research Associate in Mathematical Analysis at University of Bologna from 1995 until 2001, when he became Associate Professor. In 2008 he moved to the University of Padua, where he became Full Professor in 2017. He is the author of more than 40 papers in mathematics analysis and applications.  His scientific interests mainly focus on the theory of control and of hyperbolic partial differential equations.

Alessio Porretta is Full Professor of Mathematical Analysis at the University of Rome Tor Vergata. His research activity focuses mainly on convection-diffusion equations, Hamilton-Jacobi, control theory, and mean field games. He has given seminars in more than 20 universities in Italy and abroad and has recently been invited to give courses on mean field games in Paris, Chicago, and ETH Zurich. He has authored over 70 research papers, with nearly 1000 citations in math journals.

Carlo Sinestrari received his PhD from the University of Rome Tor Vergata, where he later became a Full Professor in Mathematical Analysis. His research interests include the analysis of nonlinear first-order partial differential equations and the formation of singularities for geometric evolution equations. He is the author of more than 40 papers in research journals. Together with P. Cannarsa he has written a monograph on semiconcave functions and their applications to optimal control theory.

Table of contents (13 chapters)

Table of contents (13 chapters)
  • Some Remarks on the Dirichlet Problem for the Degenerate Eikonal Equation

    Pages 1-16

    Albano, Paolo

  • Lipschitz Continuity of the Value Function for the Infinite Horizon Optimal Control Problem Under State Constraints

    Pages 17-38

    Basco, Vincenzo (et al.)

  • Herglotz’ Generalized Variational Principle and Contact Type Hamilton-Jacobi Equations

    Pages 39-67

    Cannarsa, Piermarco (et al.)

  • Observability Inequalities for Transport Equations through Carleman Estimates

    Pages 69-87

    Cannarsa, Piermarco (et al.)

  • On the Weak Maximum Principle for Degenerate Elliptic Operators

    Pages 89-104

    Capuzzo Dolcetta, Italo

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-030-17949-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-17948-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Trends in Control Theory and Partial Differential Equations
Editors
  • Fatiha Alabau-Boussouira
  • Fabio Ancona
  • Alessio Porretta
  • Carlo Sinestrari
Series Title
Springer INdAM Series
Series Volume
32
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-17949-6
DOI
10.1007/978-3-030-17949-6
Hardcover ISBN
978-3-030-17948-9
Series ISSN
2281-518X
Edition Number
1
Number of Pages
XII, 276
Number of Illustrations
6 b/w illustrations, 11 illustrations in colour
Topics