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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 4, Pages 485–496 (Mi jsfu273)  
The estimates of solutions of adjoint heat problem in spherical area

Viktor K. Andreeva, Ilona A. Reznikovab

a Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
b Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
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Abstract: Spherically symmetric adjoint initial-boundary value problem of heat propagation in closed bounded spherical regions has been researched. A priori estimates of temperature have been obtained subject to internal heat sources. Friedrichs inequality has been generalized for such areas.
Keywords: initial-boundary value problem, a priori estimates, Green function, interface.
Received: 05.04.2012
Received in revised form: 05.05.2012
Accepted: 10.06.2012
Document Type: Article
UDC: 512.54
Language: Russian
Citation: Viktor K. Andreev, Ilona A. Reznikova, “The estimates of solutions of adjoint heat problem in spherical area”, J. Sib. Fed. Univ. Math. Phys., 5:4 (2012), 485–496
Citation in format AMSBIB
\Bibitem{AndRez12}
\by Viktor~K.~Andreev, Ilona~A.~Reznikova
\paper The estimates of solutions of adjoint heat problem in spherical area
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 4
\pages 485--496
\mathnet{http://mi.mathnet.ru/jsfu273}
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