LEADER 03395 am 22006253u 450 001 9910346023203321 005 20200520144314.0 010 $a3-11-027147-8 024 7 $a10.1515/9783110271478 035 $a(CKB)3390000000062008 035 $a(MiAaPQ)EBC3049084 035 $a(DE-B1597)174070 035 $a(OCoLC)1013954638 035 $a(OCoLC)900809104 035 $a(DE-B1597)9783110271478 035 $a(Au-PeEL)EBL3049084 035 $a(CaPaEBR)ebr11006513 035 $a(CaONFJC)MIL807474 035 $a(OCoLC)922950045 035 $a(ScCtBLL)13da7735-bb4a-4704-83ec-c657ae105670 035 $a(EXLCZ)993390000000062008 100 $a20150126d1995 uy| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aMultidimensional inverse and ill-posed problems for differential equations /$fYu.E. Anikonov 205 $aReprint 2014 210 1$aUtrecht, The Netherlands :$cVSP,$d1995. 215 $a1 online resource (140 pages) 225 1 $aInverse and ill-posed problems series 311 $a3-11-034666-4 311 $a90-6764-185-5 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tCONTENTS -- $tINTRODUCTION -- $tCHAPTER 1. Operator Equations and Inverse Problems -- $tCHAPTER 2. Inverse Problems for Kinetic Equations -- $tCHAPTER 3. Geometry of Convex Surfaces in the Large and Inverse Problems of Scattering Theory -- $tCHAPTER 4. Integral Geometry -- $tReferences 330 $aInverse problems are usually nonlinear and are separated into one-dimensional and multidimensional problems, depending on whether the sought function (or functions) is a function of one variable or of many. Multidimensionality of inverse problems has particular value at present, because practice shows that many investigating processes are described by an equation, of which the co-efficient essentially depends on many variables. This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interet to researchers in the field of applied mathematics, geophysics and mathematical biology. 410 0$aInverse and ill-posed problems series. 606 $aInverse problems (Differential equations) 606 $aDifferential equations 608 $aElectronic books. 610 $aDifferential Equations. 610 $aIll-Posed Problems. 610 $aInverse Problems. 615 0$aInverse problems (Differential equations) 615 0$aDifferential equations. 676 $a510 700 $aAnikonov$b I?U. E$g(I?Urii? Evgen?evich),$0946814 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910346023203321 996 $aMultidimensional inverse and ill-posed problems for differential equations$92139086 997 $aUNINA