03362nam 2200745 450 991082267400332120230607232407.03-11-094481-210.1515/9783110944815(CKB)3390000000062288(EBL)3049602(SSID)ssj0001522605(PQKBManifestationID)12621859(PQKBTitleCode)TC0001522605(PQKBWorkID)11463333(PQKB)10733529(MiAaPQ)EBC3049602(DE-B1597)57162(OCoLC)1013949232(OCoLC)900794520(DE-B1597)9783110944815(Au-PeEL)EBL3049602(CaPaEBR)ebr11008984(CaONFJC)MIL807321(OCoLC)927460489(EXLCZ)99339000000006228820021011d2002 uy| 0engur|||||||||||txtccrIll-posed internal boundary value problems for the biharmonic equation /M.A. AtakhodzhaevReprint 2014Utrecht ;Boston :VSP,2002.1 online resource (166 p.)Inverse and ill-posed problems series,1381-4524Description based upon print version of record.3-11-036414-X 90-6764-365-3 Includes bibliographical references.Front matter --Preface --Contents --Introduction --Chapter 1. The first internal boundary value problem --Chapter 2. The second internal boundary value problem --Chapter 3. The third internal boundary value problem --Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation --Chapter 5. Appendices --BibliographyInternal 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.Inverse and ill-posed problems series.Differential equations, PartialImproperly posed problemsBoundary value problemsBiharmonic equationsBiharmonic Equation.Cauchy Problem.Domain Boundary.Ill-posed.Internal Boundary Value Problems.Manifolds.Differential equations, PartialImproperly posed problems.Boundary value problems.Biharmonic equations.515/.353Atakhodzhaev M. A(Mukarram Atakhodzhaevich),1690383MiAaPQMiAaPQMiAaPQBOOK9910822674003321Ill-posed internal boundary value problems for the biharmonic equation4066044UNINA