Multidimensional Inverse and Ill-Posed Problems for Differential Equations /
Anikonov, Yu. E.,
Multidimensional Inverse and Ill-Posed Problems for Differential Equations / Yu. E. Anikonov. - Reprint 2014 - Berlin ; Boston : De Gruyter, [2014] ©1995 - 1 online resource (133 p.) - Inverse and Ill-Posed Problems Series , 4 1381-4524 ; .
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 https://purl.org/coar/access_right/c_abf2
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.
Mode of access: Internet via World Wide Web.
This eBook is made available Open Access under a CC BY-NC-ND 4.0 license:
In English.
9783110271478
Differentialgleichung.
Inkorrekt gestellte Probleme.
Inverse Probleme.
MATHEMATICS / General.
Differential Equations. Ill-Posed Problems. Inverse Problems.
Multidimensional Inverse and Ill-Posed Problems for Differential Equations / Yu. E. Anikonov. - Reprint 2014 - Berlin ; Boston : De Gruyter, [2014] ©1995 - 1 online resource (133 p.) - Inverse and Ill-Posed Problems Series , 4 1381-4524 ; .
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 https://purl.org/coar/access_right/c_abf2
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.
Mode of access: Internet via World Wide Web.
This eBook is made available Open Access under a CC BY-NC-ND 4.0 license:
In English.
9783110271478
Differentialgleichung.
Inkorrekt gestellte Probleme.
Inverse Probleme.
MATHEMATICS / General.
Differential Equations. Ill-Posed Problems. Inverse Problems.