An inverse problem of determining a source in the stationary transport equation for a medium with refraction

DOI10.1007/BF02106628zbMath0851.53046OpenAlexW1979623822MaRDI QIDQ1920809

Vladimir Sharafutdinov

Publication date: 14 August 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02106628

zbMATH Keywords

Riemannian metriccurvaturegeodesic flowabsorptionstability estimatescattering diagramsource distribution for particles

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Applications of differential geometry to physics (53Z05) Transport processes in time-dependent statistical mechanics (82C70) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (13)

The inverse problem of determining a source in the stationary transport equation for a Hamiltonian system ⋮ Variational problem of the two-phase medium elasticity theory for the zero surface tension coefficient ⋮ The modified horizontal derivative and some of its applications ⋮ On the solvability of a variational problem about phase transitions in continuum mechanics ⋮ On the set of solutions to a variational phase transition problem of continuum mechanics ⋮ Isoperimetric inequality and equilibrium states of a two-phase medium ⋮ Dependence of the volume of an equilibrium phase on the temperature in the phase transition problem of continuum mechanics ⋮ The inverse problem of determining the source in the stationary transport equation on a Riemannian manifold ⋮ The role of one-phase states for a two-phase elastic medium ⋮ Quasistationary problem on the interface evolution in the phase transition theory of continuum mechanics ⋮ Inverse source problems in transport equations with external forces ⋮ Perturbations of a critical point of the energy functional of a two-phase elastic medium. I: Perturbation of the contact problem in a Sobolev space ⋮ Variational problem describing martensitic-austenitic phase transitions with zero surface tension.

Cites Work

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