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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
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 2, Pages 1261–1262
DOI: https://doi.org/10.1007/BF02364882
Bibliographic databases:
Document Type: Article
UDC: 517.934
Language: English
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
Citation in format AMSBIB
\Bibitem{Sha96}
\by V.~A.~Sharafutdinov
\paper Curvature and absorption
\inbook Differential geometry, Lie groups and mechanics. Part~15--1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 234
\pages 187--189
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3637}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856085}
\zmath{https://zbmath.org/?q=an:0959.53016}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 2
\pages 1261--1262
\crossref{https://doi.org/10.1007/BF02364882}
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