English

Bilinear embedding for real elliptic differential operators in divergence form with potentials

Classical Analysis and ODEs 2011-06-01 v1

Abstract

We present a simple Bellman function proof of a bilinear estimate for elliptic operators in divergence form with real coefficients and with nonnegative potentials. The constants are dimension-free. The pp-range of applicability of this estimate is (1,)(1,\infty) for any real accretive (nonsymmetric) matrix AA of coefficients.

Keywords

Cite

@article{arxiv.1105.6319,
  title  = {Bilinear embedding for real elliptic differential operators in divergence form with potentials},
  author = {Oliver Dragičević and Alexander Volberg},
  journal= {arXiv preprint arXiv:1105.6319},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T18:15:27.841Z