Multidimensional Inverse and Ill-Posed Problems for Differential Equations

Yu. E. Anikonov

ISBN 10: 3110346664 / ISBN 13: 9783110346664

Published by De Gruyter, DE, 2015

About this Item

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.

Seller Inventory # LU-9783110346664

Bibliographic Details

• Title: Multidimensional Inverse and Ill-Posed Problems for Differential Equations
• Publisher: De Gruyter, DE
• Publication Date: 2015
• Language: English
• ISBN 10: 3110346664
• ISBN 13: 9783110346664
• Binding: Hardback
• Edition: Reprint 2014.
• Condition: New
• Dimensions: 6.69W x 0.38H x 9.61D inches 6.69 inches width by 0.38 inches height by 9.61 inches depth
• Weight: 425 grams

About this title

Synopsis

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.

About the Author

Yurii E. Anikonov, Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia.