Integral Geometry and Inverse Problems for Kinetic Equations
Seiten
2001
|
1. Reprint 2014
De Gruyter (Verlag)
978-3-11-035469-0 (ISBN)
De Gruyter (Verlag)
978-3-11-035469-0 (ISBN)
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.
In this monograph a method for proving the solvability of integral geometry problems and inverse problems for kinetic equations is presented. The application of this method has led to interesting problems of the Dirichlet type for third order differential equations, the solvability of which appears to depend on the geometry of the domain for which the problem is stated. Another considered subject is the problem of integral geometry on paraboloids, in particular the uniqueness of solutions to the Goursat problem for a differential inequality, which implies new theorems on the uniqueness of solutions to this problem for a class of quasilinear hyperbolic equations. A class of multidimensional inverse problems associated with problems of integral geometry and the inverse problem for the quantum kinetic equations are also included.
In this monograph a method for proving the solvability of integral geometry problems and inverse problems for kinetic equations is presented. The application of this method has led to interesting problems of the Dirichlet type for third order differential equations, the solvability of which appears to depend on the geometry of the domain for which the problem is stated. Another considered subject is the problem of integral geometry on paraboloids, in particular the uniqueness of solutions to the Goursat problem for a differential inequality, which implies new theorems on the uniqueness of solutions to this problem for a class of quasilinear hyperbolic equations. A class of multidimensional inverse problems associated with problems of integral geometry and the inverse problem for the quantum kinetic equations are also included.
Anvar Kh. Amirov, Institute of High Temperatures, Russian Academy of Sciences, Moscow, Russia.
| Erscheint lt. Verlag | 20.12.2001 |
|---|---|
| Reihe/Serie | Inverse and Ill-Posed Problems Series ; 28 |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 155 x 240 mm |
| Gewicht | 480 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Differential Equations • Differential Inequality • dirichlet • Goursat • Hyperbolic equations • Integralgeometrie • Integral Geometry Problems • Integral Geometry Problems; Inverse Problems; Kinetic Equations; Dirichlet; Differential Equations; Paraboloids; Goursat; Differential Inequality; Quasilinear; Hyperbolic Equations; Multidimensional; Quantum • Inverse Problems • Inverses Problem • kinetic equations • Kinetik • Multidimensional • Paraboloids • quantum • Quasilinear |
| ISBN-10 | 3-11-035469-1 / 3110354691 |
| ISBN-13 | 978-3-11-035469-0 / 9783110354690 |
| Zustand | Neuware |
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