
handle: 11311/577917 , 11587/354673
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.
Calculus of Variations; free discontinuity problems; regularity of weak solutions, Calculus of variations; free discontinuity problems; regularity of weak solutions.
Calculus of Variations; free discontinuity problems; regularity of weak solutions, Calculus of variations; free discontinuity problems; regularity of weak solutions.
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