Besov and Triebel–Lizorkin spaces for Schrödinger operators with inverse–square potentials and applications

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)

    Abstract

    Let La be a Schrödinger operator with inverse square potential a|x|−2 on Rn,n≥3. The main aim of this paper is to develop the theory of new Besov and Triebel–Lizorkin spaces associated to La based on the new space of distributions. As applications, we apply the theory to study some problems on the parabolic equation associated to La.

    Original languageEnglish
    Pages (from-to)641-688
    Number of pages48
    JournalJournal of Differential Equations
    Volume269
    Issue number1
    DOIs
    Publication statusPublished - 15 Jun 2020

    Keywords

    • Inverse-square potential
    • Distributions;
    • Besov spaces
    • Triebel–Lizorkin spaces
    • Maximal regularity

    Fingerprint

    Dive into the research topics of 'Besov and Triebel–Lizorkin spaces for Schrödinger operators with inverse–square potentials and applications'. Together they form a unique fingerprint.

    Cite this