Geodesic
The Solution of Adjoint Heat Problem in Spherical Area by Laplace Transform Method
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 3, pp. 336-341

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The spherically symmetric adjoint initial-boundary value problem of heat propagation in closed bounded spherical regions has been researched. The exact analytical solution of the direct and inverse nonstationary problem has been obtained using Laplace transform method. The stationary state has been found and it is shown that the nonstationary solution converges to stationary one when time tends to infinity, if such are the heat sources in media.
Keywords: initial-boundary value problem, Laplace transform method, inverse problem.
Mots-clés : interface 
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     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Ilona A. Reznikova. The Solution of Adjoint Heat Problem in Spherical Area by Laplace Transform Method. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 3, pp. 336-341. http://geodesic.mathdoc.fr/item/JSFU_2013_6_3_a6/