Bilinear embedding for Schrödinger-type operators with complex coefficients

Carbonaro, Andrea (author), Dragičević, Oliver (author)

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 ${\mathbb R}^d$.

• Language: English
• Keywords: elliptic operators, Schrödinger operators, bilinear embedding, Bellman function
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.01.2025
• Year: 2025
• Number of pages: Str. 83-108
• Numbering: Vol. 69, iss. 1
• PID: 20.500.12556/RUL-168097
• UDC: 517.9
• ISSN on article: 0214-1493
• DOI: 10.5565/PUBLMAT6912504
• COBISS.SI-ID: 230651139
• Publication date in RUL: 28.03.2025

Record is a part of a journal

• Title: Publicacions matemàtiques
• Shortened title: Publ. mat.
• Publisher: Publicaciones de la Universitat Autònoma de Barcelona
• ISSN: 0214-1493
• COBISS.SI-ID: 27478528

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• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.