Integral Geometry and Inverse Problems for Kinetic Equations (Inverse and Ill-Posed Problems Series, 28)

Amirov, Anvar Kh.

ISBN 10: 3110354691 / ISBN 13: 9783110354690

Published by Walter de Gruyter, 2001

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Bibliographic Details

• Title: Integral Geometry and Inverse Problems for Kinetic Equations (Inverse and Ill-Posed Problems Series, 28)
• Publisher: Walter de Gruyter
• Publication Date: 2001
• Language: English
• ISBN 10: 3110354691
• ISBN 13: 9783110354690
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.

About the Author

Anvar Kh. Amirov, Institute of High Temperatures, Russian Academy of Sciences, Moscow, Russia.