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On differential properties of the \(R_\nu\)-generalized solution of the Dirichlet problem with coordinated degeneration of the input data - MaRDI portal

On differential properties of the \(R_\nu\)-generalized solution of the Dirichlet problem with coordinated degeneration of the input data (Q642822)

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scientific article; zbMATH DE number 5964479
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On differential properties of the \(R_\nu\)-generalized solution of the Dirichlet problem with coordinated degeneration of the input data
scientific article; zbMATH DE number 5964479

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    On differential properties of the \(R_\nu\)-generalized solution of the Dirichlet problem with coordinated degeneration of the input data (English)
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    27 October 2011
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    Summary: We consider the first boundary value problem for second-order differential equations with strong singularity caused by coordinated degeneration of the input data. For this problem, we study the differential properties of the \(R_\nu\)-generalized solution, that is, the fact that it belongs to the space \(H^{k+2}_{2,\nu+\beta/2}(\Omega)\) .
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