LEADER 03422nam 2200697 a 450 001 9910817071203321 005 20240516102014.0 010 $a3-11-025031-4 024 7 $a10.1515/9783110250312 035 $a(CKB)2560000000079398 035 $a(EBL)835443 035 $a(OCoLC)772845179 035 $a(SSID)ssj0000592781 035 $a(PQKBManifestationID)11336452 035 $a(PQKBTitleCode)TC0000592781 035 $a(PQKBWorkID)10736944 035 $a(PQKB)10544290 035 $a(MiAaPQ)EBC835443 035 $a(DE-B1597)123085 035 $a(OCoLC)853264234 035 $a(DE-B1597)9783110250312 035 $a(Au-PeEL)EBL835443 035 $a(CaPaEBR)ebr10527878 035 $a(CaONFJC)MIL628109 035 $a(EXLCZ)992560000000079398 100 $a20111021d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPseudodifferential and singular integral operators $ean introduction with applications /$fHelmut Abels 205 $a1st ed. 210 $aBerlin $cDe Gruyter$d2012 215 $a1 online resource (232 p.) 225 1 $aDe Gruyter graduate lectures 300 $aDescription based upon print version of record. 311 $a3-11-025030-6 320 $aIncludes bibliographical references and index. 327 $apt. 1. Fourier transformation and pseudodifferential operators -- pt. 2. Singular integral operators -- pt. 3. Applications to function space and differential equations -- pt. 4. Appendix. 330 $aThis textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations. In the first chapters, the necessary material on Fourier transformation and distribution theory is presented. Subsequently the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space is developed. In order to present the deep results on regularity questions for partial differential equations, an introduction to the theory of singular integral operators is given - which is of interest for its own. Moreover, to get a wide range of applications, one chapter is devoted to the modern theory of Besov and Bessel potential spaces. In order to demonstrate some fundamental approaches and the power of the theory, several applications to wellposedness and regularity question for elliptic and parabolic equations are presented throughout the book. The basic notation of functional analysis needed in the book is introduced and summarized in the appendix. The text is comprehensible for students of mathematics and physics with a basic education in analysis. 410 0$aDe Gruyter graduate. 606 $aPseudodifferential operators 606 $aIntegral operators 610 $aApplication. 610 $aFunctional Analysis. 610 $aPartial Differential Equation. 610 $aPseudodifferential Operator. 610 $aSingular Integral Operator. 615 0$aPseudodifferential operators. 615 0$aIntegral operators. 676 $a515/.94 686 $aSK 620$2rvk 700 $aAbels$b H$g(Helmut)$01620885 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817071203321 996 $aPseudodifferential and singular integral operators$93953918 997 $aUNINA