English

Bilinear embedding for Schr\"odinger-type operators with complex coefficients

Analysis of PDEs 2023-02-27 v2 Classical Analysis and ODEs Functional Analysis

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 Rd\mathbb{R}^{d}.

Keywords

Cite

@article{arxiv.1908.00143,
  title  = {Bilinear embedding for Schr\"odinger-type operators with complex coefficients},
  author = {Andrea Carbonaro and Oliver Dragičević},
  journal= {arXiv preprint arXiv:1908.00143},
  year   = {2023}
}

Comments

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

R2 v1 2026-06-23T10:36:47.792Z