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arXiv · 1810.03456

On obstacle problem for mean curvature flow with driving force

Yoshikazu Giga·Hung V. Tran·Longjie Zhang
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Abstract

In this paper, we study an obstacle problem associated with the mean curvature flow with constant driving force. Our first main result concerns interior and boundary regularity of the solution. We then study in details the large time behavior of the solution and obtain the convergence result. In particular, we give full characterization of the limiting profiles in the radially symmetric setting.

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Yoshikazu Giga, Hung V. Tran, Longjie Zhang. 2018-10-04. On obstacle problem for mean curvature flow with driving force. https://arxiv.org/abs/1810.03456

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