Geodesic
Linear inverse problems for ultraparabolic equations: the case of an unknown coefficient of space type
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 3, pp. 27-39

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We study solvability of linear inverse problems for ultraparabolic equations with an unknown coefficient that depends only on spatial variables. The particular feature of these problems consists in not previously encountered overdetermination conditions. The method of our study relies on reduction of the inverse problem to a new nonlocal boundary-value problem for ultraparabolic equations. The results on solvability of the problem are of interest in their own right.
Keywords: inverse problem, unknown external force, nonlocal problem, regular solution, uniqueness.
Mots-clés : ultraparabolic equation, existence 
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     author = {A. I. Kozhanov and Yu. A. Kosheleva},
     title = {Linear inverse problems for ultraparabolic equations: the case of an unknown coefficient of space type},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     publisher = {mathdoc},
     volume = {16},
     number = {3},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2016_16_3_a2/}
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A. I. Kozhanov; Yu. A. Kosheleva. Linear inverse problems for ultraparabolic equations: the case of an unknown coefficient of space type. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 3, pp. 27-39. http://geodesic.mathdoc.fr/item/VNGU_2016_16_3_a2/