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.
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/}
}
TY - JOUR AU - A. I. Prilepko AU - A. B. Kostin AU - V. V. Solov'ev TI - Inverse source and inverse coefficients problems for elliptic and parabolic equations in H\"older and Sobolev spaces JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2017 SP - 67 EP - 85 VL - 17 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2017_17_3_a7/ LA - ru ID - VNGU_2017_17_3_a7 ER -
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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/