Integral Geometry and Inverse Problems for Kinetic Equations

Anvar Kh. Amirov

ISBN 10: 3110354691 / ISBN 13: 9783110354690

Editore: De Gruyter, DE, 2001

Riguardo questo articolo

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.

Codice articolo LU-9783110354690

Dati bibliografici

• Titolo: Integral Geometry and Inverse Problems for Kinetic Equations
• Editore: De Gruyter, DE
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 3110354691
• ISBN 13: 9783110354690
• Rilegatura: Hardback
• Edizione: Reprint 2014.
• Condizione: New

Descrizione articolo

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.

Informazioni sull?autore

Anvar Kh. Amirov, Institute of High Temperatures, Russian Academy of Sciences, Moscow, Russia.