Anvar Kh. Amirov 
Integral Geometry and Inverse Problems for Kinetic Equations [PDF ebook] 

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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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About the author

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

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Language English ● Format PDF ● Pages 207 ● ISBN 9783110940947 ● File size 8.3 MB ● Publisher De Gruyter ● City Berlin/Boston ● Published 2014 ● Edition 1 ● Downloadable 24 months ● Currency EUR ● ID 6588901 ● Copy protection Adobe DRM
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