UID:
almahu_9949462270802882
Umfang:
1 online resource (201 p.)
Ausgabe:
Reprint 2014
ISBN:
9783110940947
,
9783110238570
Serie:
Inverse and Ill-Posed Problems Series , 28
Inhalt:
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.
Anmerkung:
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
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Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
Weitere Ausg.:
ISBN 9789067643528
Sprache:
Englisch
DOI:
10.1515/9783110940947
URL:
https://doi.org/10.1515/9783110940947
URL:
https://www.degruyter.com/isbn/9783110940947
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