Geodesic
The Inverse Problem of Simultaneous Determination of the Two Lower Space-Dependent Coefficients in a Parabolic Equation
Matematičeskie zametki, Tome 106 (2019) no. 2, pp. 248-261

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Existence and uniqueness theorems for the solution of the inverse problem of simultaneous determination of $x$-dependent coefficients at $u$ and $u_x$ in a nondivergent parabolic equation from integral observation are obtained. Estimates of the maximum absolute values of these coefficients with constants explicitly expressed via the input data of the problem are given. An example of an inverse problem to which the proved theorems apply is presented.
Keywords: inverse problems, integral observation
Mots-clés : parabolic equations. 
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     author = {V. L. Kamynin},
     title = {The {Inverse} {Problem} of {Simultaneous} {Determination} of the {Two} {Lower} {Space-Dependent} {Coefficients} in a {Parabolic} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {248--261},
     publisher = {mathdoc},
     volume = {106},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_2_a7/}
}
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V. L. Kamynin. The Inverse Problem of Simultaneous Determination of the Two Lower Space-Dependent Coefficients in a Parabolic Equation. Matematičeskie zametki, Tome 106 (2019) no. 2, pp. 248-261. http://geodesic.mathdoc.fr/item/MZM_2019_106_2_a7/