UID:
edocfu_9958355311902883
Format:
1 online resource(vi,201p.) :
,
illustrations.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter, 2001. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110940947
Series Statement:
Inverse and Ill-Posed Problems Series; 28
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:
Frontmatter --
,
Abstract --
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Contents --
,
Introduction --
,
Chapter 1. Solvability of problems of integral geometry --
,
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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Also available in print edition.
,
In English.
Additional Edition:
ISBN 9789067643528
Additional Edition:
ISBN 9783111829791
Language:
English
DOI:
10.1515/9783110940947
URL:
https://doi.org/10.1515/9783110940947