LEADER 03661nam 2200625Ia 450 001 9910483711903321 005 20200520144314.0 010 $a9783642278938 010 $a3642278930 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 $a20120228d2012 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aControl of partial differential equations $eCetraro, Italy 2010 /$fFatiha Alabau-Boussouira ... [et al.] ; editors, Piermarco Cannarsa, Jean-Michel Coron 205 $a1st ed. 2012. 210 $aBerlin ;$aHeidelberg $cSpringer$dc2012 215 $a1 online resource (XIII, 344 p. 66 illus., 49 illus. in color.) 225 1 $aLecture notes in mathematics,$x0075-8434 ;$v2048 300 $a"CIME Foundation subseries".--Cover. 300 $a"The CIME Course on Control of Partial Differential Equations ... took place in Cetraro (CS, Italy), July 19-23, 2010. ... The course consisted of five series of lectures, which are now the source of the chapters of this monograph".--Pref. 311 08$a9783642278921 311 08$a3642278922 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 $aThe term ?control theory? refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010.  Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v2048. 606 $aControl theory 606 $aDifferential equations, Partial 615 0$aControl theory. 615 0$aDifferential equations, Partial. 676 $a515.353 701 $aAlabau-Boussouira$b Fatiha$0477680 701 $aCannarsa$b Piermarco$f1957-$0283467 701 $aCoron$b Jean-Michel$f1956-$021093 712 02$aCentro internazionale matematico estivo. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483711903321 996 $aControl of partial differential equations$94193590 997 $aUNINA