Integral geometry and inverse problems for kinetic equations

zbMath1040.53001MaRDI QIDQ1411135

A. Kh. Amirov

Publication date: 26 October 2003

Published in: Inverse and Ill-Posed Problems Series (Search for Journal in Brave)

zbMATH Keywords

inverse problemsintegral geometrykinetic equationsGoursat problemquantum kinetic equationsthird order differential equationsparaboloidsDirichlet type

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Biomedical imaging and signal processing (92C55) Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Integral geometry (53C65) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Inverse problems for integral equations (45Q05)

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Solvability of a Two Dimensional Coefficient Inverse Problem for Transport Equation and a Numerical Method ⋮ Recovery of transversal metric tensor in the Schrödinger equation from the Dirichlet-to-Neumann map ⋮ Identification problems for systems of nonlinear evolution equations and functional equations ⋮ Conditional stability for a Cauchy problem for the ultrahyperbolic Schrödinger equation ⋮ The problem of determining multiple coefficients in an ultrahyperbolic equation ⋮ Inverse Problems for a Compressible Fluid System ⋮ Inverse problems for a Schrödinger-type equation ⋮ Stability for Some Inverse Problems for Transport Equations ⋮ A Hölder stability estimate for inverse problems for the ultrahyperbolic Schrödinger equation ⋮ Stability of inverse problems for ultrahyperbolic equations ⋮ An inverse problem for a generalized kinetic equation in semi-geodesic coordinates ⋮ Uniqueness of solution of an inverse source problem for ultrahyperbolic equations ⋮ Stable recovery of a metric tensor from the partial hyperbolic Dirichlet to Neumann map ⋮ Inverse Problems in the Multidimensional Hyperbolic Equation with Rapidly Oscillating Absolute Term ⋮ Stability and uniqueness for an integral geometry problem with a weight function

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