ENGLISH

Control of Partial Differential Equations: Cetraro, Italy 2010, Editors: Piermarco Cannarsa, Jean-Michel Coron

By Fatiha Alabau-Boussouira , Roger Brockett , Olivier Glass , Jérôme Le Rousseau , Enrique Zuazua (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2012
ISBN
3642278922, 9783642278921
DOI
10.1007/978-3-642-27893-8
Language
english
Format
PDF
Filesize
4 MB (4640588 bytes)
Series
Lecture Notes in Mathematics 2048 C.I.M.E. Foundation Subseries
Edition
1
Pages
344\355
Scanned
no
Time added
2012-09-12 17:32:29
Control;Fluid- and Aerodynamics;Numerical AnalysisPartial Differential Equations;Systems Theory

Description

The term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research.

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