Accepted Paper

Inserted: 7 nov 2023
Last Updated: 7 nov 2023

Journal: Journal of Convex Analysis
Pages: 1-33
Year: 2023

Abstract:

We study polyharmonic functions in 2-dimensional open sets with a flat crack: for these functions we show a decomposition of Almansi-type and make explicit the coefficients of a strongly converging expansion near the crack-tip.

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• CLT_Almansi_decomposition_and_expansion.pdf