Some new results on Lipschitz regularizing effect for Parabolic Equations, Vinh Nguyen (Cardiff)

By | February 14, 2017

It is well-known that the bounded solution of the heat equation for any continuous initial condition becomes Lipschitz continuous as soon as time is positive. We aim at extending this phenomenon to nonlinear parabolic equations. In literature, this was done requiring quite restrictive structures in first order term. Here, we relax these limitations and we can also handle some cases of degenerate parabolic equations.