Integral Geometry And Inverse Problems For Kinetic Equations

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    Integral Geometry and Inverse Problems for Kinetic Equations
    By: Anvar Kh. Amirov
    Publisher:
    De Gruyter
    Print ISBN: 9789067643528, 9067643521
    eText ISBN: 9783110940947, 3110940949
    Edition: 1st
    Copyright year: 2001
    Format: PDF
    Available from $ 280.00 USD
    SKU 9783110940947
    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.
    Additional ISBNs
    9789067643528, 9783110354690, 9067643521, 3110354691, 9783110354690
     

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