Geodesic
The estimates of solutions of adjoint heat problem in spherical area
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 485-496

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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
Mots-clés : interface. 
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     author = {Viktor K. Andreev and Ilona A. Reznikova},
     title = {The estimates of solutions of adjoint heat problem in spherical area},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {485--496},
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     volume = {5},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a5/}
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Viktor K. Andreev; Ilona A. Reznikova. The estimates of solutions of adjoint heat problem in spherical area. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 485-496. http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a5/