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- W2200210280 abstract "We prove that if $(u,Gamma)$ is a minimizer of the functional $$ J(u,Gamma)=int_{B_1(0)setminus Gamma}|nabla u|^2dx +H^1(Gamma) $$ and $Gamma$ connects $partial B_1(0)$ to a point in the interior, then $Gamma$ satisfies a point-wise $C^{2,alpha}$-estimate at the crack-tip. This means that the Mumford-Shah functional satisfies an additional, and previously unknown, Euler-Lagrange condition. ******* The previous version of the paper contained some mistakes, which has been fixed. More explanations/details has been added in Section 6." @default.
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- W2200210280 date "2015-12-16" @default.
- W2200210280 modified "2023-10-01" @default.
- W2200210280 title "Regularity up to the Crack-Tip for the Mumford-Shah problem" @default.
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