LEADER 03589nam 22006375 450 001 9910299994903321 005 20220329234820.0 010 $a3-319-04558-X 024 7 $a10.1007/978-3-319-04558-0 035 $a(CKB)3710000000202727 035 $a(EBL)1782170 035 $a(OCoLC)892239412 035 $a(SSID)ssj0001298383 035 $a(PQKBManifestationID)11710068 035 $a(PQKBTitleCode)TC0001298383 035 $a(PQKBWorkID)11242842 035 $a(PQKB)11514196 035 $a(MiAaPQ)EBC1782170 035 $a(DE-He213)978-3-319-04558-0 035 $a(PPN)179926160 035 $a(EXLCZ)993710000000202727 100 $a20140721d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSemi-bounded differential operators, contractive semigroups and beyond$b[electronic resource] /$fby Alberto Cialdea, Vladimir Maz'ya 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (262 p.) 225 1 $aOperator Theory: Advances and Applications,$x0255-0156 ;$v243 300 $aDescription based upon print version of record. 311 $a3-319-04557-1 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 1 Preliminary facts on semi-boundedness of forms and operators -- 2 Lp-dissipativity of scalar second order operators with complex coefficients -- 3 Elasticity system -- 4 Lp-dissipativity for systems of partial differential operators -- 5 The angle of Lp-dissipativity -- 6 Higher order differential operators in Lp -- 7 Weighted positivity and other related results -- References. 330 $aThis book examines the conditions for the semi-boundedness of partial differential operators, which are interpreted in different ways. For example, today we know a great deal about L2-semibounded differential and pseudodifferential operators, although their complete characterization in analytic terms still poses difficulties, even for fairly simple operators. In contrast, until recently almost nothing was known about analytic characterizations of semi-boundedness for differential operators in other Hilbert function spaces and in Banach function spaces. This book works to address that gap. As such, various types of semi-boundedness are considered and a number of relevant conditions which are either necessary and sufficient or best possible in a certain sense are presented. The majority of the results reported on are the authors? own contributions. 410 0$aOperator Theory: Advances and Applications,$x0255-0156 ;$v243 606 $aOperator theory 606 $aPartial differential equations 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aOperator theory. 615 0$aPartial differential equations. 615 14$aOperator Theory. 615 24$aPartial Differential Equations. 676 $a515.7242 700 $aCialdea$b Alberto$4aut$4http://id.loc.gov/vocabulary/relators/aut$0475306 702 $aMaz'ya$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299994903321 996 $aSemi-bounded Differential Operators, Contractive Semigroups and Beyond$92510890 997 $aUNINA