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

Luis A. Caffarelli; Ulisse Stefanelli

arxiv: math/0701769 · v1 · submitted 2007-01-26 · 🧮 math.AP

A counterexample to C^(2,1) regularity for parabolic fully nonlinear equations

Luis A. Caffarelli , Ulisse Stefanelli This is my paper

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keywords parabolicequationsfullynonlinearaddresscounterexampleexpectedproblem

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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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A counterexample to C^(2,1) regularity for parabolic fully nonlinear equations

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