The Harnack inequality for a class of degenerate elliptic operators

Details The Harnack inequality for a class of degenerate elliptic operators The Harnack inequality for a class of degenerate elliptic operators

2011-12-14

arxiv.org/abs/1112.3200v1

Mathematics

Analysis of PDEs

Scientific paper

We prove a Harnack inequality for distributional solutions to a type of degenerate elliptic PDEs in $N$ dimensions. The differential operators in question are related to the Kolmogorov operator, made up of the Laplacian in the last $N-1$ variables, a first-order term corresponding to a shear flow in the direction of the first variable, and a bounded measurable potential term. The first-order coefficient is a smooth function of the last $N-1$ variables and its derivatives up to certain order do not vanish simultaneously at any point, making the operators in question hypoelliptic.

Affiliated with

Also associated with

No associations

Rating

The Harnack inequality for a class of degenerate elliptic operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Harnack inequality for a class of degenerate elliptic operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Harnack inequality for a class of degenerate elliptic operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-227444