LEADER 03362nam 2200745 450 001 9910822674003321 005 20230607232407.0 010 $a3-11-094481-2 024 7 $a10.1515/9783110944815 035 $a(CKB)3390000000062288 035 $a(EBL)3049602 035 $a(SSID)ssj0001522605 035 $a(PQKBManifestationID)12621859 035 $a(PQKBTitleCode)TC0001522605 035 $a(PQKBWorkID)11463333 035 $a(PQKB)10733529 035 $a(MiAaPQ)EBC3049602 035 $a(DE-B1597)57162 035 $a(OCoLC)1013949232 035 $a(OCoLC)900794520 035 $a(DE-B1597)9783110944815 035 $a(Au-PeEL)EBL3049602 035 $a(CaPaEBR)ebr11008984 035 $a(CaONFJC)MIL807321 035 $a(OCoLC)927460489 035 $a(EXLCZ)993390000000062288 100 $a20021011d2002 uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIll-posed internal boundary value problems for the biharmonic equation /$fM.A. Atakhodzhaev 205 $aReprint 2014 210 1$aUtrecht ;$aBoston :$cVSP,$d2002. 215 $a1 online resource (166 p.) 225 1 $aInverse and ill-posed problems series,$x1381-4524 300 $aDescription based upon print version of record. 311 $a3-11-036414-X 311 $a90-6764-365-3 320 $aIncludes bibliographical references. 327 $tFront matter --$tPreface --$tContents --$tIntroduction --$tChapter 1. The first internal boundary value problem --$tChapter 2. The second internal boundary value problem --$tChapter 3. The third internal boundary value problem --$tChapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation --$tChapter 5. Appendices --$tBibliography 330 $aInternal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain. This monograph studies three essentially ill-posed internal boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively. In addition, some variants of these problems and the Cauchy problem, as well as the m-dimensional case, are considered. The author introduces some new notions, such as the notion of complete solvability. 410 0$aInverse and ill-posed problems series. 606 $aDifferential equations, Partial$xImproperly posed problems 606 $aBoundary value problems 606 $aBiharmonic equations 610 $aBiharmonic Equation. 610 $aCauchy Problem. 610 $aDomain Boundary. 610 $aIll-posed. 610 $aInternal Boundary Value Problems. 610 $aManifolds. 615 0$aDifferential equations, Partial$xImproperly posed problems. 615 0$aBoundary value problems. 615 0$aBiharmonic equations. 676 $a515/.353 700 $aAtakhodzhaev$b M. A$g(Mukarram Atakhodzhaevich),$01690383 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910822674003321 996 $aIll-posed internal boundary value problems for the biharmonic equation$94066044 997 $aUNINA