03606nam 2200601Ia 450 991048371190332120200520144314.03-642-27893-010.1007/978-3-642-27893-8(CKB)3360000000365846(SSID)ssj0000666021(PQKBManifestationID)11432166(PQKBTitleCode)TC0000666021(PQKBWorkID)10664621(PQKB)11276789(DE-He213)978-3-642-27893-8(MiAaPQ)EBC3070518(PPN)165078618(EXLCZ)99336000000036584620120228d2012 uy 0engurnn|008mamaatxtccrControl of partial differential equations Cetraro, Italy 2010 /Fatiha Alabau-Boussouira ... [et al.] ; editors, Piermarco Cannarsa, Jean-Michel Coron1st ed. 2012.Berlin ;Heidelberg Springerc20121 online resource (XIII, 344 p. 66 illus., 49 illus. in color.) Lecture notes in mathematics,0075-8434 ;2048"CIME Foundation subseries".--Cover."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.3-642-27892-2 Includes bibliographical references.1 On some recent advances on stabilization for hyperbolic equations -- 2 Notes on the Control of the Liouville Equation -- 3 Some questions of control in fluid mechanics -- 4 Carleman estimates and some applications to control theory -- 5 The Wave Equation: Control and Numerics.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.Lecture notes in mathematics (Springer-Verlag) ;2048.Control theoryDifferential equations, PartialControl theory.Differential equations, Partial.515.353Alabau-Boussouira Fatiha477680Cannarsa Piermarco1957-283467Coron Jean-Michel1956-21093Centro internazionale matematico estivo.MiAaPQMiAaPQMiAaPQBOOK9910483711903321Control of partial differential equations4193590UNINA