Almansi Decomposition and Expansion of a Polyharmonic Function Near a Crack-Tip

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Open Access

1 January 2024

journal article
Published by Banach Press LLC in Journal of Convex Analysis

Vol. 31 (2) , 379-409
DOI:10.68381/jca31024

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.

Keywords

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