LEADER 01255nas 2200433-a 450 001 996208618303316 005 20230522010532.0 011 $a2192-2659 035 $a(DE-599)ZDB2645585-7 035 $a(OCoLC)787793514 035 $a(CKB)3410000000000206 035 $a(CONSER)--2012250674 035 $a(EXLCZ)993410000000000206 100 $a20120220a20129999 --- a 101 0 $aeng 135 $aurmnu---uuaaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aAdvanced healthcare materials 210 $aWeinheim $cWiley-VCH$d2012- 300 $aRefereed/Peer-reviewed 311 $a2192-2640 531 $aADV. HEALTHC. MATER 531 $aADV HEALTHC MATER 606 $aBiomedical materials$vPeriodicals 606 $aBiomedical and Dental Materials 606 $aBiomedical materials$2fast$3(OCoLC)fst00832586 608 $aPeriodical. 608 $aPeriodicals.$2fast 610 $aBiomedical Engineering 615 0$aBiomedical materials 615 2$aBiomedical and Dental Materials. 615 7$aBiomedical materials. 676 $a610.28 906 $aJOURNAL 912 $a996208618303316 996 $aAdvanced healthcare materials$92128724 997 $aUNISA LEADER 03341nam 22005655 450 001 9910523759603321 005 20251113211946.0 010 $a3-030-89397-9 024 7 $a10.1007/978-3-030-89397-2 035 $a(CKB)5860000000000175 035 $a(MiAaPQ)EBC6882488 035 $a(Au-PeEL)EBL6882488 035 $a(OCoLC)1299382308 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/78269 035 $a(PPN)260825611 035 $a(ODN)ODN0010068734 035 $a(oapen)doab78269 035 $a(DE-He213)978-3-030-89397-2 035 $a(EXLCZ)995860000000000175 100 $a20220202d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEvolutionary Equations $ePicard's Theorem for Partial Differential Equations, and Applications /$fby Christian Seifert, Sascha Trostorff, Marcus Waurick 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022. 215 $a1 online resource (321 pages) 225 1 $aOperator Theory: Advances and Applications,$x2296-4878 ;$v287 311 1 $a3-030-89396-0 327 $a- Introduction -- Unbounded Operators -- The Time Derivative -- Ordinary Differential Equations -- The Fourier-Laplace Transformation and Material Law Operators -- Solution Theory for Evolutionary Equations -- Examples of Evolutionary Equations -- Causality and a Theorem of Paley and Wiener -- Initial Value Problems and Extrapolation Spaces -- Differential Algebraic Equations -- Exponential Stability of Evolutionary Equations -- Boundary Value Problems and Boundary Value Spaces -- Continuous Dependence on the Coefficients I -- Continuous Dependence on the Coefficients II. 330 $aThis open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some basic theory of complex analysis are required. Nevertheless, key properties of solutions can be recovered in an elegant manner. Moreover, the strength of this method is demonstrated by a large variety of examples, showing the applicability of the approach of evolutionary equations in various fields. Additionally, a quantitative theory for evolutionary equations is developed. The text is self-contained, providing an excellent source for a first study on evolutionary equations and a decent guide to the available literature on this subject, thus bridging the gap to state-of-the-art mathematical research. 410 0$aOperator Theory: Advances and Applications,$x2296-4878 ;$v287 606 $aDifferential equations 606 $aDifferential Equations 615 0$aDifferential equations. 615 14$aDifferential Equations. 676 $a515.35 686 $aMAT034000$2bisacsh 700 $aSeifert$b Christian$01214744 701 $aTrostorff$b Sascha$f1984-$01258807 701 $aWaurick$b Marcus$0721074 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910523759603321 996 $aEvolutionary equations$92916996 997 $aUNINA