Published Paper
Inserted: 7 nov 2023
Last Updated: 24 mar 2024
Journal: Journal of Convex Analysis
Volume: 31
Number: 2
Pages: 379-409
Year: 2024
Links:
Journal of Convex Analysis
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: Crack-tip, crease-tip, Almansi decomposition , Image analysis, smooth cracks in elasticity, Power series expansion, biharmonic and polyharmonic functions , Free discontinuity problems, calculus of variations
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