Inserted: 24 jun 2009
Last Updated: 20 dec 2010
Journal: Adv. Math. Sci. Appl.
We prove the existence of 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.
Keywords: calculus of variations, Regularity of weak solution, Free discontinuity problem, Image segmentation