Inverse source and inverse coefficients problems for elliptic and parabolic equations in H\"older and Sobolev spaces
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 3, pp. 67-85

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We give a review of some results obtained during the last fifteen years. This results includes the theorems of existence and uniqueness of the solution of linear and nonlinear inverse problems of reconstruction of unknown coefficients in elliptic and parabolic equations.
Keywords: inverse coefficients problems
Mots-clés : elliptic equations, parabolic equations, final observation, nonlocal observation.
@article{VNGU_2017_17_3_a7,
     author = {A. I. Prilepko and A. B. Kostin and V. V. Solov'ev},
     title = {Inverse source and inverse coefficients problems for elliptic and parabolic equations in {H\"older} and {Sobolev} spaces},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {67--85},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2017_17_3_a7/}
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A. I. Prilepko; A. B. Kostin; V. V. Solov'ev. Inverse source and inverse coefficients problems for elliptic and parabolic equations in H\"older and Sobolev spaces. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 3, pp. 67-85. http://geodesic.mathdoc.fr/item/VNGU_2017_17_3_a7/