Geodesic
The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficient in Parabolic Equations with Many Space Variables
Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 368-381

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We obtain existence and uniqueness theorems for the solution of the inverse problem of the simultaneous determination of the right-hand side and the lowest coefficient in multidimensional parabolic equations with integral observation. We give an estimate of the maximum of the modulus of unknown coefficients with constants explicitly expressed in terms of the input data of the problem.
Mots-clés : multidimensional parabolic equation, Cordes condition
Keywords: inverse problem, maximum principle, Schauder fixed-point theorem. 
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     author = {V. L. Kamynin},
     title = {The {Inverse} {Problem} of the {Simultaneous} {Determination} of the {Right-Hand} {Side} and the {Lowest} {Coefficient} in {Parabolic} {Equations} with {Many} {Space} {Variables}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {368--381},
     publisher = {mathdoc},
     volume = {97},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a5/}
}
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V. L. Kamynin. The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficient in Parabolic Equations with Many Space Variables. Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 368-381. http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a5/