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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.
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Yurii E. Anikonov, Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia.
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Multidimensional Inverse and Ill-Posed Problems for Differential Equations (Inverse and Ill-Posed Problems Series, 4)
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Multidimensional Inverse and Ill-Posed Problems for Differential Equations
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Multidimensional Inverse and Ill-Posed Problems for Differential Equations
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 140 pp. Englisch. Codice articolo 9783110346664
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Multidimensional Inverse and Ill-Posed Problems for Differential Equations (Inverse and Ill-Posed Problems Series, 4)
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Multidimensional Inverse and Ill-Posed Problems for Differential Equations (Inverse and Ill-Posed Problems Series, 4)
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Multidimensional Inverse and Ill-Posed Problems for Differential Equations (Inverse and Ill-Posed Problems Series, 4)
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Multidimensional Inverse and Ill-Posed Problems for Differential Equations
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De Gruyter, De Gruyter Okt 2015, 2015
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ISBN 13: 9783110346664
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Walter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 140 pp. Englisch. Codice articolo 9783110346664
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Hardback. Condizione: New. Reprint 2014. 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. Codice articolo LU-9783110346664
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