Schauder estimates for a class of non-local elliptic equations

Details Schauder estimates for a class of non-local elliptic equations Schauder estimates for a class of non-local elliptic equations

2011-03-25

arxiv.org/abs/1103.5069v2

Mathematics

Analysis of PDEs

added a new result and a reference, 28 pages

Scientific paper

We establish Schauder estimates for a class of non-local elliptic operators with kernel $K(y)=a(y)/|y|^{d+\sigma}$. Here $0 < \sigma < 2$ is a constant and $a$ is a bounded measurable function, which is not necessarily to be homogeneous, regular, or symmetric. As an application, it is proved that the operators give isomorphisms between the Lipschitz--Zygmund spaces $\Lambda^{\alpha+\sigma}$ and $\Lambda^\alpha$ for any $\alpha>0$.

Affiliated with

Also associated with

No associations

Rating

Schauder estimates for a class of non-local elliptic equations 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 Schauder estimates for a class of non-local elliptic equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schauder estimates for a class of non-local elliptic equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-571541