Holder Regularity for Solution of Parabolic Equations with Super-Quadratic Growth in the Gradient

Pierre Cardaliaguet
Université de Paris IX (Paris-Dauphine)

We will present two different approaches to prove the Holder regularity of solutions for local or nonlocal parabolic equations with super-quadratic growth in the gradient: in the first one, joint work with C. Rainer, one uses a representation formula for the solution and an inverse Holder inequality. In the second one, joint work with L.
Silvestre, the key step is a reduction of oscillation argument.

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