Local existence and regularity of solutions of singular elliptic operators on manifolds with corner singularities (Q914975)

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scientific article; zbMATH DE number 4150842
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Local existence and regularity of solutions of singular elliptic operators on manifolds with corner singularities
scientific article; zbMATH DE number 4150842

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    Local existence and regularity of solutions of singular elliptic operators on manifolds with corner singularities (English)
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    1990
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    We study local existence and regularity of solutions to n-dimensional singular Fuchsian type operators by means of a perturbation technique based on the theory of multidimensional Mellin transformation developed in the paper. The radial regularity of those solutions (asymptotic expansions) are studied in a series of forthcoming papers of the second author.
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    corner singularities
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    local existence
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    regularity
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    singular Fuchsian type operators
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    multidimensional Mellin transformation
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