TY - BOOK AU - Amirov,A.Kh TI - Integral geometry and inverse problems for kinetic equations T2 - Inverse and ill-posed problems series SN - 9783110940947 AV - QA672 U1 - 516.3/62 21 PY - 2001/// CY - Utrecht PB - VSP KW - Integral geometry KW - Inverse problems (Differential equations) KW - Chemical kinetics KW - Mathematics KW - Géométrie intégrale KW - Problèmes inverses (Équations différentielles) KW - Cinétique chimique KW - Mathématiques KW - MATHEMATICS KW - Geometry KW - General KW - bisacsh KW - fast KW - Electronic books N1 - Includes bibliographical references (pages 191-201); Introduction -- Chapter 1. Solvability of problems of integral geometry -- 1.1. Two-dimensional inverse problem for the transport equation -- 1.2. Three-dimensional inverse problem for the transport equation -- 1.3. Solvability of the problem of integral geometry along geodesics -- 1.4. A planar problem of integral geometry -- 1.5. Certain problems of tomography -- Chapter 2. Inverse problems for kinetic equations -- 2.1. The problem of integral geometry and an inverse problem for the kinetic equation -- 2.2. Linear kinetic equation; 2.3. A modification of Problem 2.2.12.4. One-dimensional kinetic equation -- 2.5. Equations of the Boltzmann type -- 2.6. The Vlasov system -- 2.7. Some inverse and direct problems for the kinetic equation -- Chapter 3. Evolutionary equations -- 3.1. The Cauchy problem for an integro-differential equation -- 3.2. The problems (3.1.1) -- (3.1.2) for m = 2k + 1, p = 1 (the case of nonperiodic solutions) -- 3.3. Boundary value problems -- 3.4. The Cauchy problem for an evolutionary equation -- 3.5. Inverse problem for an evolutionary equation; Chapter 4. Inverse problems for second order differential equations4.1. Quantum kinetic equation -- 4.2. Ultrahyperbolic equation -- 4.3. On a class of multidimensional inverse problems -- 4.4. Inverse problems with concentrated data -- Appendix A -- Bibliography UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=832699 ER -