Iterated polyharmonic Green functions for plane domains (Q651830)

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scientific article; zbMATH DE number 5989460
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Iterated polyharmonic Green functions for plane domains
scientific article; zbMATH DE number 5989460

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    Iterated polyharmonic Green functions for plane domains (English)
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    19 December 2011
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    In a series of papers, by using convolution methods, several hybrid Green functions and related boundary value problems for complex differential equations were introduced by the author. The reviewed article is a survey on recent results describing an explicit construction of hybrid polyharmonic Green functions, as well as explicit representations of the fundamental solutions to the corresponding boundary value problems for different plane domains.
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    complex partial differential operators
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    polyharmonic Green functions
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    polyharmonic Poisson kernels
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    explicit representation
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