Integral Geometry and Inverse Problems for Kinetic Equations
Anvar Kh. Amirov
Jul 2014 · Inverse and Ill-Posed Problems Series Book 28 · Walter de Gruyter GmbH & Co KG
Ebook
207
Pages
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About this ebook
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.
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