Integral Geometry and Inverse Problems for Kinetic Equations - Anvar Kh. Amirov

Integral Geometry and Inverse Problems for Kinetic Equations

Buch | Hardcover
VI, 201 Seiten
2001 | 1. Reprint 2014
De Gruyter (Verlag)
978-3-11-035469-0 (ISBN)
199,95 inkl. MwSt
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.

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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