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Determination of the coefficient q with respect to the solution of the second boundary-value problem for the equation \(u_ t-\Delta u+qu=f\) in the half-space (global existence) - MaRDI portal

Determination of the coefficient q with respect to the solution of the second boundary-value problem for the equation \(u_ t-\Delta u+qu=f\) in the half-space (global existence) (Q793244)

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scientific article; zbMATH DE number 3855627
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English
Determination of the coefficient q with respect to the solution of the second boundary-value problem for the equation \(u_ t-\Delta u+qu=f\) in the half-space (global existence)
scientific article; zbMATH DE number 3855627

    Statements

    Determination of the coefficient q with respect to the solution of the second boundary-value problem for the equation \(u_ t-\Delta u+qu=f\) in the half-space (global existence) (English)
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    1982
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    The author considers sufficient conditions for the global existence of the solution of the problem of determination of the coefficient q(x,t), not depending on one space variable \(x_ n\), in the equation \(u_ t- \Delta u+qu=f\) with respect to the solution of the second boundary-value problem in the half-space for this equation, in addition to the one known for \(x_ n=0\).
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    global existence
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    determination of the coefficient
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    second boundary-value problem
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    half-space
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