Time decay for Schrödinger equation with rough potentials

Shijun Zheng

doi:10.1007/s10496-007-0375-3

Time decay for Schrödinger equation with rough potentials

Shijun Zheng

Mathematical Sciences

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

1 Scopus citations

Abstract

We obtain certain time decay and regularity estimates for 3D Schrödinger equation with a potential in the Kato class by using Besov spaces associated with Schrödinger operators.

Original language	English
Pages (from-to)	375-379
Number of pages	5
Journal	Analysis in Theory and Applications
Volume	23
Issue number	4
DOIs	https://doi.org/10.1007/s10496-007-0375-3
State	Published - Dec 2007

Scopus Subject Areas

Analysis
Applied Mathematics

Keywords

Functional calculus
Littlewood-Paley theory
Schrödinger operator

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10.1007/s10496-007-0375-3

Cite this

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title = "Time decay for Schr{\"o}dinger equation with rough potentials",

abstract = "We obtain certain time decay and regularity estimates for 3D Schr{\"o}dinger equation with a potential in the Kato class by using Besov spaces associated with Schr{\"o}dinger operators.",

keywords = "Functional calculus, Littlewood-Paley theory, Schr{\"o}dinger operator",

author = "Shijun Zheng",

year = "2007",

month = dec,

doi = "10.1007/s10496-007-0375-3",

language = "English",

volume = "23",

pages = "375--379",

journal = "Analysis in Theory and Applications",

issn = "1672-4070",

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T1 - Time decay for Schrödinger equation with rough potentials

AU - Zheng, Shijun

PY - 2007/12

Y1 - 2007/12

N2 - We obtain certain time decay and regularity estimates for 3D Schrödinger equation with a potential in the Kato class by using Besov spaces associated with Schrödinger operators.

AB - We obtain certain time decay and regularity estimates for 3D Schrödinger equation with a potential in the Kato class by using Besov spaces associated with Schrödinger operators.

KW - Functional calculus

KW - Littlewood-Paley theory

KW - Schrödinger operator

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U2 - 10.1007/s10496-007-0375-3

DO - 10.1007/s10496-007-0375-3

M3 - Article

SN - 1672-4070

VL - 23

SP - 375

EP - 379

JO - Analysis in Theory and Applications

JF - Analysis in Theory and Applications

IS - 4

ER -

Time decay for Schrödinger equation with rough potentials

Abstract

Scopus Subject Areas

Keywords

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