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

The Anh Bui

doi:10.1016/j.jde.2019.12.016

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

The Anh Bui

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Let L_a 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 L_a based on the new space of distributions. As applications, we apply the theory to study some problems on the parabolic equation associated to L_a.

Original language	English
Pages (from-to)	641-688
Number of pages	48
Journal	Journal of Differential Equations
Volume	269
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2019.12.016
Publication status	Published - 15 Jun 2020

Keywords

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

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10.1016/j.jde.2019.12.016

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title = "Besov and Triebel–Lizorkin spaces for Schr{\"o}dinger operators with inverse–square potentials and applications",

abstract = "Let La be a Schr{\"o}dinger 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.",

keywords = "Inverse-square potential, Distributions;, Besov spaces, Triebel–Lizorkin spaces, Maximal regularity",

author = "Bui, {The Anh}",

year = "2020",

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doi = "10.1016/j.jde.2019.12.016",

language = "English",

volume = "269",

pages = "641--688",

journal = "Journal of Differential Equations",

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T1 - Besov and Triebel–Lizorkin spaces for Schrödinger operators with inverse–square potentials and applications

AU - Bui, The Anh

PY - 2020/6/15

Y1 - 2020/6/15

N2 - 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.

AB - 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.

KW - Inverse-square potential

KW - Distributions;

KW - Besov spaces

KW - Triebel–Lizorkin spaces

KW - Maximal regularity

UR - http://www.scopus.com/inward/record.url?scp=85077717389&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2019.12.016

DO - 10.1016/j.jde.2019.12.016

M3 - Article

AN - SCOPUS:85077717389

SN - 0022-0396

VL - 269

SP - 641

EP - 688

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

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

Abstract

Keywords

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