Special Session 108: Regularity in local versus nonlocal problems

Interior Gradient Estimates for Nonhomogeneous Parabolic p-Laplace Systems
Pedra Andrade
Paris Lodron University of Salzburg
Austria
Co-Author(s):    Verena Boegelein, Frank Duzaar and Kristian Moring
Abstract:
In this talk, I will discuss gradient estimates for weak solutions to nonhomogeneous parabolic $p$-Laplacian systems with a right-hand side in non-divergence form. Under suitable regularity conditions on the coefficients, we obtain improved integrability properties beyond those currently known in the literature. Our approach combines classical techniques, including comparison estimates and stopping-time arguments, to derive Calderon-Zygmund-type estimates.