Integral Geometry and Inverse Problems for Kinetic Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
2001
|
| Schriftenreihe: | Inverse and Ill-Posed Problems Series
28 |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Beschreibung: | Biographical note: Anvar Kh. Amirov, Institute of High Temperatures, Russian Academy of Sciences, Moscow, Russia Main description: 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 |
| Beschreibung: | 1 Online-Ressource (VI, 201 S.) |
| ISBN: | 9789067643528 9783110940947 9783111829791 |
| DOI: | 10.1515/9783110940947 |
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| isbn | 9789067643528 9783110940947 9783111829791 |
| language | English |
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| spelling | Amirov, Anvar Kh Verfasser aut Integral Geometry and Inverse Problems for Kinetic Equations 2001 1 Online-Ressource (VI, 201 S.) txt rdacontent c rdamedia cr rdacarrier Inverse and Ill-Posed Problems Series 28 Biographical note: Anvar Kh. Amirov, Institute of High Temperatures, Russian Academy of Sciences, Moscow, Russia Main description: 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 Integralgeometrie (DE-588)4161911-0 gnd rswk-swf Kinetische Gleichung (DE-588)4030667-7 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Integralgeometrie (DE-588)4161911-0 s Kinetische Gleichung (DE-588)4030667-7 s Inverses Problem (DE-588)4125161-1 s 1\p DE-604 https://doi.org/10.1515/9783110940947 Verlag Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110940947&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Amirov, Anvar Kh Integral Geometry and Inverse Problems for Kinetic Equations Integralgeometrie (DE-588)4161911-0 gnd Kinetische Gleichung (DE-588)4030667-7 gnd Inverses Problem (DE-588)4125161-1 gnd |
| subject_GND | (DE-588)4161911-0 (DE-588)4030667-7 (DE-588)4125161-1 |
| title | Integral Geometry and Inverse Problems for Kinetic Equations |
| title_auth | Integral Geometry and Inverse Problems for Kinetic Equations |
| title_exact_search | Integral Geometry and Inverse Problems for Kinetic Equations |
| title_full | Integral Geometry and Inverse Problems for Kinetic Equations |
| title_fullStr | Integral Geometry and Inverse Problems for Kinetic Equations |
| title_full_unstemmed | Integral Geometry and Inverse Problems for Kinetic Equations |
| title_short | Integral Geometry and Inverse Problems for Kinetic Equations |
| title_sort | integral geometry and inverse problems for kinetic equations |
| topic | Integralgeometrie (DE-588)4161911-0 gnd Kinetische Gleichung (DE-588)4030667-7 gnd Inverses Problem (DE-588)4125161-1 gnd |
| topic_facet | Integralgeometrie Kinetische Gleichung Inverses Problem |
| url | https://doi.org/10.1515/9783110940947 http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110940947&searchTitles=true |
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