We study the solvability of linear inverse problems for ultraparabolic equations with an unknown coefficient depending only on the spatial variables. The feature of such problems is special overdetermination conditions. We use the method based on reducing the inverse problem to a nonlocal boundary-value problem for ultraparabolic equations.
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Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 16, No. 3, 2016, pp. 27-39.
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Kozhanov, A.I., Kosheleva, Y.A. Linear Inverse Problems for Ultraparabolic Equations: The Case of Unknown Coefficient of Spatial Type. J Math Sci 230, 67–78 (2018). https://doi.org/10.1007/s10958-018-3728-x
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DOI: https://doi.org/10.1007/s10958-018-3728-x