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

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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	American English
Journal	Analysis in Theory and Applications
Volume	23
DOIs	https://doi.org/10.1007/s10496-007-0375-3
State	Published - Dec 1 2007

Keywords

Functional Calculus
Littlewood-Paley Theory
Schrödinger Operator

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Mathematics

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https://doi.org/10.1007/s10496-007-0375-3

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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,

day = "1",

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

language = "American English",

volume = "23",

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 - 2007/12/1

Y1 - 2007/12/1

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

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/693

UR - https://doi.org/10.1007/s10496-007-0375-3

U2 - 10.1007/s10496-007-0375-3

DO - 10.1007/s10496-007-0375-3

M3 - Article

SN - 1672-4070

VL - 23

JO - Analysis in Theory and Applications

JF - Analysis in Theory and Applications

ER -

Time Decay for Schrödinger Equation with Rough Potentials

Abstract

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