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

Includes bibliographical references (pages 191-201).

Online resource; title from PDF title page (EBSCO, viewed July 11, 2017).

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

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