Inverse Problems for Partial Differential Equations
Seiten
| Ausstattung: eBook & Hardcover
2012
|
Reprint 2012
De Gruyter
9783111826899 (ISBN)
De Gruyter
9783111826899 (ISBN)
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The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied.
This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied.
Yurii Ya. Belov, Siberian Federal University, Krasnoyarsk, Russia.
| Reihe/Serie | Inverse and Ill-Posed Problems Series ; 32 |
|---|---|
| Zusatzinfo | Includes a print version and an ebook |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Gewicht | 750 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | Cauchy • Coefficients • Composite Type • Fourier • hyperbolic • Identification Problems • Identification Problems; Coefficients; Parabolic; Hyperbolic; Composite Type; Cauchy; Fourier • Inverses Problem • parabolic • Partielle Differentialgleichung |
| ISBN-13 | 9783111826899 / 9783111826899 |
| Zustand | Neuware |
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