Improved regularity for the parabolic normalized p-Laplace equation: PDS Andrade, MS Santos
PDS Andrade, MS Santos - Calculus of Variations and Partial Differential …, 2022 - Springer
Calculus of Variations and Partial Differential Equations, 2022•Springer
We derive regularity estimates for viscosity solutions to the parabolic normalized p-Laplace.
By using approximation methods and scaling arguments for the normalized p-parabolic
operator, we show that the gradient of bounded viscosity solutions is locally asymptotically
Lipschitz continuous when p is sufficiently close to 2. In addition, we establish regularity
estimates in Sobolev spaces.
By using approximation methods and scaling arguments for the normalized p-parabolic
operator, we show that the gradient of bounded viscosity solutions is locally asymptotically
Lipschitz continuous when p is sufficiently close to 2. In addition, we establish regularity
estimates in Sobolev spaces.
Abstract
We derive regularity estimates for viscosity solutions to the parabolic normalized p-Laplace. By using approximation methods and scaling arguments for the normalized p-parabolic operator, we show that the gradient of bounded viscosity solutions is locally asymptotically Lipschitz continuous when p is sufficiently close to 2. In addition, we establish regularity estimates in Sobolev spaces.
Springer