JournalsifbVol. 17, No. 3pp. 399–426

Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions

  • Gwenaël Mercier

    Ecole Polytechnique, Palaiseau, France
  • Matteo Novaga

    Università di Pisa, Italy
Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions cover
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Abstract

We show short time existence and uniqueness of C1,1C^{1,1} solutions to the mean curvature flow with obstacles, when the obstacles are of class C1,1C^{1,1}. If the initial interface is a periodic graph we show long time existence of the evolution and convergence to a minimal constrained hypersurface.

Cite this article

Gwenaël Mercier, Matteo Novaga, Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions. Interfaces Free Bound. 17 (2015), no. 3, pp. 399–426

DOI 10.4171/IFB/348