Critical regularity for elliptic equations from Littlewood-Paley theory

Details Critical regularity for elliptic equations from Littlewood-Paley theory Critical regularity for elliptic equations from Littlewood-Paley theory

2005-06-12

arxiv.org/abs/math/0506225v1

Mathematics

Analysis of PDEs

Scientific paper

Using simple facts from harmonic analysis, namely Bernstein inequality and
Plansherel isometry, we prove that the pseudodifferential equation
$\Delta^\alpha u+Vu=0$ improves the Sobolev regularity of solutions provided
the potential $V$ is integrable with the critical power $n/2\alpha>1$.

Affiliated with

Also associated with

No associations

Rating

Critical regularity for elliptic equations from Littlewood-Paley theory 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 Critical regularity for elliptic equations from Littlewood-Paley theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical regularity for elliptic equations from Littlewood-Paley theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-649563