LEADER 04397nam 22007575 450 001 996466648803316 005 20230412153037.0 010 $a3-642-27893-0 024 7 $a10.1007/978-3-642-27893-8 035 $a(CKB)3360000000365846 035 $a(SSID)ssj0000666021 035 $a(PQKBManifestationID)11432166 035 $a(PQKBTitleCode)TC0000666021 035 $a(PQKBWorkID)10664621 035 $a(PQKB)11276789 035 $a(DE-He213)978-3-642-27893-8 035 $a(MiAaPQ)EBC3070518 035 $a(PPN)165078618 035 $a(EXLCZ)993360000000365846 100 $a20120418d2012 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aControl of Partial Differential Equations$b[electronic resource] $eCetraro, Italy 2010, Editors: Piermarco Cannarsa, Jean-Michel Coron /$fby Fatiha Alabau-Boussouira, Roger Brockett, Olivier Glass, Jérôme Le Rousseau, Enrique Zuazua 205 $a1st ed. 2012. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012. 215 $a1 online resource (XIII, 344 p. 66 illus., 49 illus. in color.) 225 1 $aC.I.M.E. Foundation Subseries ;$v2048 300 $a"CIME Foundation subseries".--Cover. 300 $a"The CIME Course on Control of Partial Differential Equations ... took place in Cetraro (CS, Italy), July 19-23, 2010. ... The course consisted of five series of lectures, which are now the source of the chapters of this monograph".--Pref. 311 $a3-642-27892-2 320 $aIncludes bibliographical references. 327 $a1 On some recent advances on stabilization for hyperbolic equations -- 2 Notes on the Control of the Liouville Equation -- 3 Some questions of control in ?uid mechanics -- 4 Carleman estimates and some applications to control theory -- 5 The Wave Equation: Control and Numerics. 330 $aThe term ?control theory? refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010.  Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research. 410 0$aC.I.M.E. Foundation Subseries ;$v2048 606 $aDifferential equations 606 $aSystem theory 606 $aControl theory 606 $aContinuum mechanics 606 $aNumerical analysis 606 $aDifferential Equations 606 $aSystems Theory, Control 606 $aContinuum Mechanics 606 $aNumerical Analysis 615 0$aDifferential equations. 615 0$aSystem theory. 615 0$aControl theory. 615 0$aContinuum mechanics. 615 0$aNumerical analysis. 615 14$aDifferential Equations. 615 24$aSystems Theory, Control . 615 24$aContinuum Mechanics. 615 24$aNumerical Analysis. 676 $a515.353 700 $aAlabau-Boussouira$b Fatiha$4aut$4http://id.loc.gov/vocabulary/relators/aut$0477680 702 $aBrockett$b Roger$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aGlass$b Olivier$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLe Rousseau$b Jérôme$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZuazua$b Enrique$4aut$4http://id.loc.gov/vocabulary/relators/aut 712 02$aCentro internazionale matematico estivo. 906 $aBOOK 912 $a996466648803316 996 $aControl of partial differential equations$9241167 997 $aUNISA