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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 4, Pages 485–496
(Mi jsfu273)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/jsfu273 https://www.mathnet.ru/eng/jsfu/v5/i4/p485
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Abstract page: | 491 | Full-text PDF : | 134 | References: | 83 |
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