Harnack type inequality for non-negative solutions of second-order degenerate parabolic equations in divergent form

Abstract

We study a class of second-order degenerate parabolic equations in divergent form. We prove two analogues of the Harnack inequality, one for non-negative weak solutions, an another for non-negative solutions.

Keywords

• Degenerate equations
• weighted Sobolev space
• weak solution
• Poincare inequality
• Harnack inequality