Unique continuation for differential inclusions

  • Riccardo Tione (MPI MiS, Leipzig)
E2 10 (Leon-Lichtenstein)


The Sobolev regularity of solutions to the Monge-Ampère equation in the plane can be rephrased in terms of a unique continuation property of differential inclusions. After an overview of the known results concerning the Monge-Ampère equation, I will explain this connection to differential inclusions and sketch a proof of the unique continuation property. Based on joint work with G. De Philippis and A. Guerra.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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