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Determination of unknown coefficients in a multidimensional quasi-linear parabolic equation (Q1089524)

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scientific article; zbMATH DE number 4004791
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English
Determination of unknown coefficients in a multidimensional quasi-linear parabolic equation
scientific article; zbMATH DE number 4004791

    Statements

    Determination of unknown coefficients in a multidimensional quasi-linear parabolic equation (English)
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    1985
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    For a quasi-linear parabolic equation of general form, in the multidimensional case, the author considers incorrectly posed inverse problems, involving the determination of the unknown coefficients for the high-order derivatives. A theorem of uniqueness in Hölder classes is proved. A regularizing approximate solution method, based on the variational principle, is proposed.
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    quasi-linear
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    incorrectly posed inverse problems
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    unknown coefficients
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    uniqueness
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    regularizing approximate solution method
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    variational principle
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