03589nam 2200805 450 991082267320332120230607232340.03-11-094094-910.1515/9783110940947(CKB)3390000000062279(SSID)ssj0001522664(PQKBManifestationID)12627760(PQKBTitleCode)TC0001522664(PQKBWorkID)11463336(PQKB)10891103(MiAaPQ)EBC3049558(DE-B1597)57194(OCoLC)1013964839(OCoLC)900796297(DE-B1597)9783110940947(Au-PeEL)EBL3049558(CaPaEBR)ebr11008932(CaONFJC)MIL807157(OCoLC)922950379(EXLCZ)99339000000006227920020723d2001 uy| 0engurcnu||||||||txtccrIntegral geometry and inverse problems for kinetic equations /A. Kh. AmirovReprint 2014Utrecht ;Boston :VSP,2001.1 online resource (209 pages)Inverse and ill-posed problems series,1381-4524Bibliographic Level Mode of Issuance: Monograph3-11-035469-1 90-6764-352-1 Includes bibliographical references.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. -- BibliographyIn 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. Inverse and ill-posed problems series.Integral geometryInverse problems (Differential equations)Chemical kineticsMathematicsDifferential Equations.Differential Inequality.Dirichlet.Goursat.Hyperbolic Equations.Integral Geometry Problems.Inverse Problems.Kinetic Equations.Multidimensional.Paraboloids.Quantum.Quasilinear.Integral geometry.Inverse problems (Differential equations)Chemical kineticsMathematics.516.3/62Amirov A. Kh1690381MiAaPQMiAaPQMiAaPQBOOK9910822673203321Integral geometry and inverse problems for kinetic equations4066039UNINA