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

Download:

• CLT_Almansi_decomposition_and_expansion.pdf