Lipschitz regularity for the parabolic (s,p)-obstacle problem
Abstract
We study the obstacle problem for the parabolic fractional p-Laplace equation \[∂t u+(-Δp)su = 0\] in the degenerate range 2<p<2/(1-s). We prove that viscosity solutions are locally Lipschitz continuous in space and Hölder continuous in time. If, in addition, p>1/(1-s), the time regularity improves to Lipschitz continuity.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.