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A counterexample to $C^{2,1}$ regularity for parabolic fully nonlinear equations

Luis A. Caffarelli·Ulisse Stefanelli
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Abstract

We address the self-similar solvability of a singular parabolic problem and show that solutions to parabolic fully nonlinear equations are not expected to be $C^{2,1}$.

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Luis A. Caffarelli, Ulisse Stefanelli. 2007-01-26. A counterexample to $C^{2,1}$ regularity for parabolic fully nonlinear equations. https://arxiv.org/abs/math/0701769

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