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

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

2011-05-31

arxiv.org/abs/1105.6319v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

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 $(1,\infty)$ for any real accretive
(nonsymmetric) matrix $A$ of coefficients.

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