Integral Geometry and Inverse Problems for Kinetic Equations - Couverture rigide

Amirov, Anvar Kh.

 
9783110354690: Integral Geometry and Inverse Problems for Kinetic Equations

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.

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À propos de l?auteur

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

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Autres éditions populaires du même titre

9789067643528: Integral Geometry and Inverse Problems for Kinetic Equations

Edition présentée

ISBN 10 :  9067643521 ISBN 13 :  9789067643528
Editeur : VSP International Science Publis..., 2001
Couverture rigide