LEADER 03340nam 22005535 450 001 9910349316803321 005 20200706202257.0 010 $a3-030-29530-3 024 7 $a10.1007/978-3-030-29530-1 035 $a(CKB)4100000009751193 035 $a(MiAaPQ)EBC5969416 035 $a(DE-He213)978-3-030-29530-1 035 $a(PPN)26914868X 035 $a(EXLCZ)994100000009751193 100 $a20191031d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCarleman Estimates for Second Order Partial Differential Operators and Applications $eA Unified Approach /$fby Xiaoyu Fu, Qi Lü, Xu Zhang 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (xi, 127 pages) $cillustrations 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 311 $a3-030-29529-X 327 $a1 Introduction -- 2 Carleman estimates for second order elliptic operators and applications -- 3 Carleman estimates for second order parabolic operators and applications -- 4 Carleman estimates for second order hyperbolic operators and applications. 330 $aThis book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, and their typical applications in control, unique continuation, and inverse problems. There are three particularly important and novel features of the book. First, only some basic calculus is needed in order to obtain the main results presented, though some elementary knowledge of functional analysis and partial differential equations will be helpful in understanding them. Second, all Carleman estimates in the book are derived from a fundamental identity for a second order partial differential operator; the only difference is the choice of weight functions. Third, only rather weak smoothness and/or integrability conditions are needed for the coefficients appearing in the equations. Carleman Estimates for Second Order Partial Differential Operators and Applications will be of interest to all researchers in the field. 410 0$aSpringerBriefs in Mathematics,$x2191-8198 606 $aPartial differential equations 606 $aSystem theory 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 615 0$aPartial differential equations. 615 0$aSystem theory. 615 14$aPartial Differential Equations. 615 24$aSystems Theory, Control. 676 $a515 676 $a515.7242 700 $aFu$b Xiaoyu$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781292 702 $aLü$b Qi$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZhang$b Xu$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349316803321 996 $aCarleman Estimates for Second Order Partial Differential Operators and Applications$92498801 997 $aUNINA