24 citations · 79 across the 10 of their papers we have counts for
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math.AP2014
Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions
Gwenael Mercier, Matteo Novaga
We show short time existence and uniqueness of $\C^{1,1}$ solutions to the mean curvature flow with obstacles, when the obstacles are of class $\C^{1,1}$. If the initial interface…
math.AP2014★ 10 cited
Mean curvature flow with obstacles: a viscosity approach
Gwenael Mercier
We introduce a level-set formulation for the mean curvature flow with obstacles and show existence and uniqueness of a viscosity solution. These results generalize a well known vis…