Bilinear embedding for Schrödinger-type operators with complex coefficients

Abstract

We prove a variant of the so-called bilinear embedding theorem for operators in divergence form with complex coefficients and with nonnegative locally integrable potentials, subject to mixed boundary conditions, and acting on arbitrary open subsets of ${\mathbb{R}}^d$.

Much of the material in the new version was rearranged and otherwise revisited. We explained the main steps in the proof of Lemma 3.8 better