Spectral Multipliers for Schrödinger Operators

Shijun Zheng

Spectral Multipliers for Schrödinger Operators

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

We prove a sharp spectral multiplier theorem of Mihlin-Hörmander type for Schrödinger operators with potentials in the Kato class. We further show that there is a deep connection between spectral multiplier problem and Strichartz estimates for wave and Schrödinger equations.

Original language	American English
State	Published - Oct 7 2006
Event	Fall Western Sectional Meeting of the American Mathematical Society (AMS) - Albuquerque, NM Duration: Oct 14 2007 → …

Conference

Conference	Fall Western Sectional Meeting of the American Mathematical Society (AMS)
Period	10/14/07 → …

Disciplines

Mathematics
Physical Sciences and Mathematics

Keywords

Schrodinger Operators
Spectral Multipliers

Access to Document

http://www.ams.org/meetings/sectional/1019-35-24.pdf

Cite this

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title = "Spectral Multipliers for Schr{\"o}dinger Operators",

abstract = " We prove a sharp spectral multiplier theorem of Mihlin-H{\"o}rmander type for Schr{\"o}dinger operators with potentials in the Kato class. We further show that there is a deep connection between spectral multiplier problem and Strichartz estimates for wave and Schr{\"o}dinger equations.",

keywords = "Schrodinger Operators, Spectral Multipliers",

author = "Shijun Zheng",

year = "2006",

month = oct,

day = "7",

language = "American English",

note = "Fall Western Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 14-10-2007",

}

TY - CONF

T1 - Spectral Multipliers for Schrödinger Operators

AU - Zheng, Shijun

PY - 2006/10/7

Y1 - 2006/10/7

N2 - We prove a sharp spectral multiplier theorem of Mihlin-Hörmander type for Schrödinger operators with potentials in the Kato class. We further show that there is a deep connection between spectral multiplier problem and Strichartz estimates for wave and Schrödinger equations.

AB - We prove a sharp spectral multiplier theorem of Mihlin-Hörmander type for Schrödinger operators with potentials in the Kato class. We further show that there is a deep connection between spectral multiplier problem and Strichartz estimates for wave and Schrödinger equations.

KW - Schrodinger Operators

KW - Spectral Multipliers

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/425

UR - http://www.ams.org/meetings/sectional/1019-35-24.pdf

M3 - Presentation

T2 - Fall Western Sectional Meeting of the American Mathematical Society (AMS)

Y2 - 14 October 2007

ER -

Spectral Multipliers for Schrödinger Operators

Abstract

Conference

Disciplines

Keywords

Access to Document

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