LEADER 03740nam 2200757 450 001 9910824136703321 005 20230607232343.0 010 $a3-11-094463-4 024 7 $a10.1515/9783110944631 035 $a(CKB)3390000000034973 035 $a(EBL)4008728 035 $a(SSID)ssj0001123071 035 $a(PQKBManifestationID)11637817 035 $a(PQKBTitleCode)TC0001123071 035 $a(PQKBWorkID)11070449 035 $a(PQKB)11526664 035 $a(MiAaPQ)EBC4008728 035 $a(DE-B1597)57199 035 $a(OCoLC)979589223 035 $a(DE-B1597)9783110944631 035 $a(Au-PeEL)EBL4008728 035 $a(CaPaEBR)ebr11072076 035 $a(CaONFJC)MIL807491 035 $a(OCoLC)913089434 035 $a(EXLCZ)993390000000034973 100 $a20160223h20022002 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aInverse problems for partial differential equations /$fYu. Ya. Belov 205 $aReprint 2012 210 1$aUtrecht, [The Netherlands] :$cVSP,$d2002. 210 4$dİ2002 215 $a1 online resource (219 p.) 225 1 $aInverse and Ill-Posed Problems Series 300 $aDescription based upon print version of record. 311 $a3-11-062025-1 311 $a90-6764-358-0 320 $aIncludes bibliographical references. 327 $t Frontmatter -- $tPreface -- $tContents -- $tChapter 1. Auxiliary information from functional analysis and theory of differential equations -- $tChapter 2. The weak approximation method -- $tChapter 3. Identification problems for parabolic equations with Cauchy data -- $tChapter 4. The identification of the source function for a system of composite type and parabolic equation. The behavior of the problem's solution under t -> + ? -- $tChapter 5. The problem of determining the coefficient in a parabolic equation and some properties of its solution -- $tChapter 6. Two unknown coefficients of a parabolic type equation -- $tChapter 7. Some inverse boundary value problems -- $tBibliography 330 $aThis monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied. 410 0$aInverse and ill-posed problems series. 606 $aDifferential equations, Partial 606 $aInverse problems (Differential equations) 606 $aMathematical physics 610 $aCauchy. 610 $aCoefficients. 610 $aComposite Type. 610 $aFourier. 610 $aHyperbolic. 610 $aIdentification Problems. 610 $aParabolic. 615 0$aDifferential equations, Partial. 615 0$aInverse problems (Differential equations) 615 0$aMathematical physics. 676 $a530.15/5353 700 $aBelov$b Yu. Ya$01689590 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910824136703321 996 $aInverse problems for partial differential equations$94064758 997 $aUNINA