Ask a Question

Prefer a chat interface with context about you and your work?

H\"older Continuity and Harnack estimate for non-homogeneous parabolic equations

H\"older Continuity and Harnack estimate for non-homogeneous parabolic equations

In this paper we continue the study on intrinsic Harnack inequality for non- homogeneous parabolic equations in non-divergence form initiated by the first author in [1]. We establish a forward-in-time intrinsic Harnack inequality, which in particular implies the H\"older continuity of the solutions. We also provide a Harnack type estimate …