03395 am 22006253u 450 991034602320332120200520144314.03-11-027147-810.1515/9783110271478(CKB)3390000000062008(MiAaPQ)EBC3049084(DE-B1597)174070(OCoLC)1013954638(OCoLC)900809104(DE-B1597)9783110271478(Au-PeEL)EBL3049084(CaPaEBR)ebr11006513(CaONFJC)MIL807474(OCoLC)922950045(ScCtBLL)13da7735-bb4a-4704-83ec-c657ae105670(EXLCZ)99339000000006200820150126d1995 uy| 0engurcnu||||||||rdacontentrdamediardacarrierMultidimensional inverse and ill-posed problems for differential equations /Yu.E. AnikonovReprint 2014Utrecht, The Netherlands :VSP,1995.1 online resource (140 pages)Inverse and ill-posed problems series3-11-034666-4 90-6764-185-5 Includes bibliographical references.Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. Operator Equations and Inverse Problems -- CHAPTER 2. Inverse Problems for Kinetic Equations -- CHAPTER 3. Geometry of Convex Surfaces in the Large and Inverse Problems of Scattering Theory -- CHAPTER 4. Integral Geometry -- ReferencesInverse 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.Inverse and ill-posed problems series.Inverse problems (Differential equations)Differential equationsElectronic books.Differential Equations.Ill-Posed Problems.Inverse Problems.Inverse problems (Differential equations)Differential equations.510Anikonov I͡U. E(I͡Uriĭ Evgenʹevich),946814MiAaPQMiAaPQMiAaPQBOOK9910346023203321Multidimensional inverse and ill-posed problems for differential equations2139086UNINA