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.

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

Tomarelli F.
2024-01-01

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.
2024
Almansi decomposition
biharmonic functions
calculus of variations
Crack-tip
crease-tip
free discontinuity
image analysis
polyharmonic functions
power series expansion
smooth cracks in elasticity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1264889
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