TY  - BOOK
AU  - Anikonov,YuE.
TI  - Multidimensional Inverse and Ill-Posed Problems for Differential Equations
T2  - Inverse and Ill-Posed Problems Series
SN  - 9783110271478
U1  - 510 
PY  - 2014///]
CY  - Berlin, Boston : 
PB  - De Gruyter, 
KW  - Differential equations, Partial
KW  - Improperly posed problems
KW  - Inverse problems (Differential equations)
KW  - Differential Equations
KW  - Differentialgleichung
KW  - Ill-Posed Problems
KW  - Inkorrekt gestellte Probleme
KW  - Inverse Probleme
KW  - Inverse Problems
KW  - MATHEMATICS / General
KW  - bisacsh
N1  - 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 --; References; Open Access
N2  - Inverse 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
UR  - https://doi.org/10.1515/9783110271478
UR  - https://www.degruyter.com/cover/covers/9783110271478.jpg
ER  -