Multidimensional Inverse and Ill-Posed Problems for Differential Equations

Yu. E. Anikonov

ISBN 10: 3110346664 / ISBN 13: 9783110346664

Editore: De Gruyter, DE, 2015

Riguardo questo articolo

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

Dati bibliografici

• Titolo: Multidimensional Inverse and Ill-Posed Problems for Differential Equations
• Editore: De Gruyter, DE
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 3110346664
• ISBN 13: 9783110346664
• Rilegatura: Hardback
• Edizione: Reprint 2014.
• Condizione: New
• Dimensioni: 6,69 L x 0,38 A x 9,61 P (pollici) 6,69 pollici di larghezza per 0,38 pollici di altezza per 9,61 pollici di profondità
• Peso: 425 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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