In this monograph a new method for proving the solvability of integralgeometry problems and inverse problems for kinetic equations ispresented. The application of this method has led to interestingproblems of the Dirichlet type for third order differential equations,the solvability of which appears to depend on the geometry of the domainfor which the problem is stated.
Another subject of the book is the problem of integral geometry onparaboloids, in particular the uniqueness of solutions to the Goursatproblem for a differential inequality, which implies new theorems on theuniqueness of solutions to this problem for a class of quasilinearhyperbolic equations. A class of multidimensional inverse problemsassociated with problems of integral geometry and the inverse problemfor the quantum kinetic equations are also included.
This monograph will be of value and interest to mathematicians who dealwith problems of integral geometry, direct and inverse problems ofmathematical physics and geophysics and for specialists in computerizedtomography.
2001; viii+202 pages ISBN 90-6764-352-1 Price (all prices are subject to change without notice): EUR 151/US$ 216
