LEADER 05207nam 22006734a 450 001 9910450915003321 005 20200520144314.0 010 $a981-277-729-6 035 $a(CKB)1000000000411626 035 $a(EBL)1679507 035 $a(OCoLC)879023495 035 $a(SSID)ssj0000151399 035 $a(PQKBManifestationID)11151316 035 $a(PQKBTitleCode)TC0000151399 035 $a(PQKBWorkID)10319936 035 $a(PQKB)11418063 035 $a(MiAaPQ)EBC1679507 035 $a(WSP)00004990 035 $a(PPN)181361175 035 $a(Au-PeEL)EBL1679507 035 $a(CaPaEBR)ebr10201327 035 $a(CaONFJC)MIL505401 035 $a(EXLCZ)991000000000411626 100 $a20020528d2002 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEvolution equations and approximations$b[electronic resource] /$fKazufumi Ito, Franz Kappel 210 $aRiver Edge, N.J. $cWorld Scientific$dc2002 215 $a1 online resource (518 p.) 225 1 $aSeries on advances in mathematics for applied sciences ;$vv. 61 300 $aDescription based upon print version of record. 311 $a981-238-026-4 320 $aIncludes bibliographical references (p. 489-492) and index. 327 $aContents ; Preface ; Chapter 1. Dissipative and Maximal Monotone Operators ; 1.1 Duality mapping and directional derivatives of norms ; 1.2 Dissipative operators ; 1.3 Properties of m-dissipative operators ; 1.4 Perturbation results for m-dissipative operators 327 $a1.5 Maximal monotone operators 1.6 Convex functionals and subdifferentials ; Chapter 2. Linear Semigroups ; 2.1 Examples and basic definitions ; 2.2 Cauchy problems and mild solutions ; 2.3 The Hille-Yosida theorem ; 2.4 The Lumer-Phillips theorem ; 2.5 A second order equation 327 $aChapter 3. Analytic Semigroups 3.1 Dissipative operators and sesquilinear forms ; 3.2 Analytic semigroups ; Chapter 4. Approximation of Co-Semigroups ; 4.1 The Trotter-Kato theorem ; 4.2 Approximation of nonhomogeneous problems ; 4.3 Variational formulations of the Trotter-Kato theorem 327 $a4.4 An approximation result for analytic semigroups Chapter 5. Nonlinear Semigroups of Contractions ; 5.1 Generation of nonlinear semigroups ; 5.2 Cauchy problems with dissipative operators ; 5.3 The infinitesimal generator ; 5.4 Nonlinear diffusion 327 $aChapter 6. Locally Quasi-Dissipative Evolution Equations 6.1 Locally quasi-dissipative operators ; 6.2 Assumptions on the operators A(t) ; 6.3 DS-approximations and fundamental estimates ; 6.4 Existence of DS-approximations ; 6.5 Existence and uniqueness of mild solutions 327 $a6.6 Autonomous problems 330 $a This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems. The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and 410 0$aSeries on advances in mathematics for applied sciences ;$vv. 61. 606 $aEvolution equations$xNumerical solutions 606 $aApproximation theory 608 $aElectronic books. 615 0$aEvolution equations$xNumerical solutions. 615 0$aApproximation theory. 676 $a515/.353 700 $aIto$b Kazufumi$0311866 701 $aKappel$b F$013975 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450915003321 996 $aEvolution equations and approximations$91419468 997 $aUNINA LEADER 00907nam a22002291i 4500 001 991003196979707536 005 20040423145517.0 008 040802s1965 fr |||||||||||||||||fre 035 $ab13038783-39ule_inst 035 $aARCHE-099139$9ExL 040 $aBiblioteca Interfacoltà$bita$cA.t.i. Arché s.c.r.l. Pandora Sicilia s.r.l. 100 1 $aVier, Jacques$0197472 245 12$aL'armature intellectuelle et morale /$cJacques Vier 260 $aParis :$bColin,$cc1965 300 $a351 p. ;$c23 cm 440 0$aHistoire de la littérature française ;$v1 907 $a.b13038783$b02-04-14$c05-08-04 912 $a991003196979707536 945 $aLE002 Fondo Giudici E 601/1$g1$i2002000204660$lle002$nV. 1. - C. 1$o-$pE0.00$q-$rn$so $t0$u0$v0$w0$x0$y.i13662168$z05-08-04 996 $aArmature intellectuelle et morale$9166375 997 $aUNISALENTO 998 $ale002$b05-08-04$cm$da $e-$ffre$gfr $h2$i1 LEADER 01198nas 2200361-a 450 001 996215626303316 005 20240413022121.0 011 $a1943-2194 035 $a(CKB)110978966561924 035 $a(CONSER)--2008215295 035 $a(EXLCZ)99110978966561924 100 $a20080521a20089999 --- a 101 0 $aeng 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aAdministrative professional today 210 $aFalls Church, Va. $cNational Institute of Business Management$d©2008- 215 $a1 online resource 300 $aTitle from caption. 311 $aPrint version: Administrative professional today. 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