Geodesic
An identification problem of source function in the system of composite type
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 445-457

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An identification problem of source function for the semievolutionary system of two partial differential equations, one of which is parabolic, and the second – elliptic are investigated. The Cauchy problem and the first boundary-value problem are considered. Initial problems are approximated by problems in which the elliptic equation is replaced with the parabolic equation containing the small parameter $\varepsilon>0$ at a derivative with respect to time.
Keywords: partial differential equations, boundary-value problems, approximation, small parameter
Mots-clés : convergence. 
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     author = {Yury Ya. Belov},
     title = {An identification problem of source function in the system of composite type},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {445--457},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a2/}
}
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Yury Ya. Belov. An identification problem of source function in the system of composite type. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 445-457. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a2/