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

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 p-range of applicability of this estimate is (1,∞) for any real accretive (nonsymmetric) matrix A of coefficients. © 2011 Elsevier Inc. All rights reserved