Integral Geometry and Inverse Problems for Kinetic Equations / / Anvar Kh. Amirov.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Amirov, Anvar Kh.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2014]; ©2001
• Year of Publication: 2014
• Edition: Reprint 2014
• Language: English
• Series: Inverse and Ill-Posed Problems Series , 28
• Physical Description: 1 online resource (201 p.)
• Other title: Frontmatter --; Abstract --; Contents --; Introduction --; Chapter 1. Solvability of problems of integral geometry --; Chapter 2. Inverse problems for kinetic equations --; Chapter 3. Evolutionary equations --; Chapter 4. Inverse problems for second order differential equations --; Appendix Α. --; Bibliography
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110940947; 9783110238570; 9783110238471; 9783110637205
• ISSN: 1381-4524
• DOI: 10.1515/9783110940947
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Anvar Kh. Amirov.

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.