LEADER 05096nam 2200661Ia 450 001 9910820350303321 005 20240404150536.0 010 $a1-281-93449-6 010 $a9786611934491 010 $a981-279-455-7 035 $a(CKB)1000000000537955 035 $a(EBL)1681009 035 $a(OCoLC)815752329 035 $a(SSID)ssj0000159745 035 $a(PQKBManifestationID)11183207 035 $a(PQKBTitleCode)TC0000159745 035 $a(PQKBWorkID)10159766 035 $a(PQKB)11305519 035 $a(MiAaPQ)EBC1681009 035 $a(WSP)00004822 035 $a(Au-PeEL)EBL1681009 035 $a(CaPaEBR)ebr10255908 035 $a(CaONFJC)MIL193449 035 $a(EXLCZ)991000000000537955 100 $a20020701d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aFunctional-analytic and complex methods, their interactions, and applications to partial differential equations $eproceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 /$feditors, H. Florian ... [et al.] 205 $a1st ed. 210 $aRiver Edge, New Jersey $cWorld Scientific$dc2001 215 $a1 online resource (473 p.) 300 $aDescription based upon print version of record. 311 $a981-02-4764-8 320 $aIncludes bibliographical references. 327 $aCONTENTS ; Preface ; 1 Boundary value problems and initial value problems for partial differential equations ; Hyperbolic equations, waves and the singularity theory; On the regularity of solutions of the first boundary problem for higher order hyperbolic differential equations ; Zeilon's operator and lacunae 327 $aRepresentation of the Stokes potential in divergence form On spectra of the operator rotor ; Algebraic properties of potential differential and pseudodifferential operators ; The method of weighted function spaces for solving initial value and boundary value problems 327 $aThe optimization of fixed-point methods Principle of Telethoscope ; Isometric mappings and the problem of A. D. Aleksandrov for conservative distances ; Natural metrics of differential equations (abstract) ; Embedding theorems in anisotropic functional spaces (abstract) 327 $aDistributional analysis of boundary value problems in half-spaces-exemplifled by Melan's problem of elastostatics (abstract) Ba?cklund transformations and nonlinear evolution equations (ABSTRACT); Nonlinear perturbations of systems of partial differential equations (ABSTRACT) 327 $aPartial differential equations and cubature formulas (ABSTRACT) 2 Applications of functional-analytic and complex methods to mathematical physics ; Conservation laws for differential equations ; Applied quatemionic analysis. Maxwell's system and Dirac's equation 327 $aIntegral transforms method in the conjugation problems of electromagnetic fields 330 $a Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New int 606 $aDifferential equations, Partial$vCongresses 606 $aFunctional analysis$vCongresses 615 0$aDifferential equations, Partial 615 0$aFunctional analysis 676 $a515.353 676 $a515/.353 701 $aFlorian$b Helmut$031888 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820350303321 996 $aFunctional-analytic and complex methods, their interactions, and applications to partial differential equations$94003126 997 $aUNINA