We prove the existence of a strong solution for Blake & Zisserman functional under Dirichlet boundary condition. The result is obtained by showing partial regularity of weak solutions up to the boundary through blow-up technique and a decay property for bi-harmonic functions in half-disk.
A Dirichlet problem with free gradient discontinuity
CARRIERO, Michele;LEACI, Antonio;
In corso di stampa
Abstract
We prove the existence of a strong solution for Blake & Zisserman functional under Dirichlet boundary condition. The result is obtained by showing partial regularity of weak solutions up to the boundary through blow-up technique and a decay property for bi-harmonic functions in half-disk.File in questo prodotto:
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