UID:
edocfu_9959229441102883
Format:
1 online resource (209 pages).
Edition:
Reprint 2014
ISBN:
3-11-094094-9
Series Statement:
Inverse and ill-posed problems series,
Content:
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.
Note:
Bibliographic Level Mode of Issuance: Monograph
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Frontmatter --
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Abstract --
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Contents --
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Introduction --
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Chapter 1. Solvability of problems of integral geometry --
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Chapter 2. Inverse problems for kinetic equations --
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Chapter 3. Evolutionary equations --
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Chapter 4. Inverse problems for second order differential equations --
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Appendix Α. --
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Bibliography
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Issued also in print.
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English
Additional Edition:
ISBN 3-11-035469-1
Additional Edition:
ISBN 90-6764-352-1
Language:
English
DOI:
10.1515/9783110940947
