The (Variable Coefficient) Thin Obstacle Problem: A Carleman Approach

  • Angkana Rüland (University of Oxford)
A3 01 (Sophus-Lie room)


In this talk I discuss a robust, new approach of proving (almost) optimal regularity for the (variable coefficient) thin obstacle problem. The central tool here consists of a Carleman inequality. This allows to control the vanishing order of solutions to the problem and to deduce compactness of blow-up solutions also in the presence of metrics with low regularity. This is joint work with Herbert Koch and Wenhui Shi.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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