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Integral geometry and inverse problems for kinetic equations / / A. Kh. Amirov



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Autore: Amirov A. Kh Visualizza persona
Titolo: Integral geometry and inverse problems for kinetic equations / / A. Kh. Amirov Visualizza cluster
Pubblicazione: Utrecht ; ; Boston : , : VSP, , 2001
Edizione: Reprint 2014
Descrizione fisica: 1 online resource (209 pages)
Disciplina: 516.3/62
Soggetto topico: Integral geometry
Inverse problems (Differential equations)
Chemical kinetics - Mathematics
Soggetto non controllato: Differential Equations
Differential Inequality
Dirichlet
Goursat
Hyperbolic Equations
Integral Geometry Problems
Inverse Problems
Kinetic Equations
Multidimensional
Paraboloids
Quantum
Quasilinear
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: 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
Sommario/riassunto: 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.
Titolo autorizzato: Integral geometry and inverse problems for kinetic equations  Visualizza cluster
ISBN: 3-11-094094-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910822673203321
Lo trovi qui: Univ. Federico II
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Serie: Inverse and ill-posed problems series.