We review some results obtained by the authors during the last 15 years. In particular, we present the existence and uniqueness theorems for linear and nonlinear inverse problems of reconstructing unknown coefficients in elliptic and parabolic equations.
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Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki17, No. 3, 2017, pp. 67-85.
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Prilepko, A.I., Kostin, A.B. & Solov’ev, V.V. Inverse Source and Coefficient Problems for Elliptic and Parabolic Equations in Hölder and Sobolev Spaces. J Math Sci 237, 576–594 (2019). https://doi.org/10.1007/s10958-019-04184-2
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DOI: https://doi.org/10.1007/s10958-019-04184-2