The Inverse Problem of Determining the Lower-Order Coefficient in Parabolic Equations with Integral Observation
Matematičeskie zametki, Tome 94 (2013) no. 2, pp. 207-217

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Existence and uniqueness theorems for the solution to the inverse problem of determining the lower-order coefficient in multidimensional parabolic equations with integral observation are obtained. An estimate of the maximum of the modulus of the unknown coefficient with a constant explicitly expressed via the input data of the problem is given.
Mots-clés : multidimensional parabolic equation, Cordes-type condition.
Keywords: inverse problem for parabolic equations with integral observation, maximum principle
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     author = {V. L. Kamynin},
     title = {The {Inverse} {Problem} of {Determining} the {Lower-Order} {Coefficient} in {Parabolic} {Equations} with {Integral} {Observation}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     number = {2},
     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_2_a4/}
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V. L. Kamynin. The Inverse Problem of Determining the Lower-Order Coefficient in Parabolic Equations with Integral Observation. Matematičeskie zametki, Tome 94 (2013) no. 2, pp. 207-217. http://geodesic.mathdoc.fr/item/MZM_2013_94_2_a4/