|
Zapiski Nauchnykh Seminarov POMI, 1996, Volume 234, Pages 187–189
(Mi znsl3637)
|
|
|
|
Curvature and absorption
V. A. Sharafutdinov Новосибирский государственный университет
Abstract:
The problem of finding a distribution of the sources of particles (or radiation) in a bounded domain $D$ by the outputting flow through the boundary $\partial D$ is considered. It is assumed that the domain $D$ is filled with a medium whose absorption, scattering diagram, and Riemannian metric are known. Under certain assumptions on these characteristics of the medium, the uniqueness of a solution and its stability are proved.
Received: 20.10.1992
Citation:
V. A. Sharafutdinov, “Curvature and absorption”, Differential geometry, Lie groups and mechanics. Part 15–1, Zap. Nauchn. Sem. POMI, 234, POMI, St. Petersburg, 1996, 187–189; J. Math. Sci. (New York), 94:2 (1999), 1261–1262
Linking options:
https://www.mathnet.ru/eng/znsl3637 https://www.mathnet.ru/eng/znsl/v234/p187
|
Statistics & downloads: |
Abstract page: | 119 | Full-text PDF : | 47 |
|