Description
Brill Integral Geometry And Inverse Problems For Kinetic Equations 2001 Edition by Amirov
01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.In this monograph a new 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 subject of the book 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.This monograph will be of value and interest to mathematicians who deal with problems of integral geometry, direct and inverse problems of mathematical physics and geophysics and for specialists in computerized tomography.