Strichartz Estimates for Schrödinger Equation with a Magnetic Potential

Shijun Zheng

Strichartz Estimates for Schrödinger Equation with a Magnetic Potential

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

The dissipative mechanism of Schrödinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schrödinger equation in an external magnetic field. It turns out that the scattering with a potential may lead to understanding of the wellposedness of NLS in the presence of nonsmooth or large initial data. Part of this talk is a joint work with Zhenqiu Zhang.

Original language	American English
State	Published - Feb 17 2009
Event	The Norbert Wiener Center Seminar - College Park, MD Duration: Feb 17 2009 → …

Conference

Conference	The Norbert Wiener Center Seminar
Period	02/17/09 → …

Keywords

Magnetic potential
Schrödinger equations
Strichartz estimates

DC Disciplines

Mathematics

Cite this

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title = "Strichartz Estimates for Schr{\"o}dinger Equation with a Magnetic Potential",

abstract = " The dissipative mechanism of Schr{\"o}dinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schr{\"o}dinger equation in an external magnetic field. It turns out that the scattering with a potential may lead to understanding of the wellposedness of NLS in the presence of nonsmooth or large initial data. Part of this talk is a joint work with Zhenqiu Zhang.",

keywords = "Magnetic potential, Schr{\"o}dinger equations, Strichartz estimates",

author = "Shijun Zheng",

note = "The dissipative mechanism of Schroedinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schr{\"o}dinger equation in an external magnetic field.; The Norbert Wiener Center Seminar ; Conference date: 17-02-2009",

year = "2009",

month = feb,

day = "17",

language = "American English",

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TY - CONF

T1 - Strichartz Estimates for Schrödinger Equation with a Magnetic Potential

AU - Zheng, Shijun

N1 - The dissipative mechanism of Schroedinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schrödinger equation in an external magnetic field.

PY - 2009/2/17

Y1 - 2009/2/17

N2 - The dissipative mechanism of Schrödinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schrödinger equation in an external magnetic field. It turns out that the scattering with a potential may lead to understanding of the wellposedness of NLS in the presence of nonsmooth or large initial data. Part of this talk is a joint work with Zhenqiu Zhang.

AB - The dissipative mechanism of Schrödinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schrödinger equation in an external magnetic field. It turns out that the scattering with a potential may lead to understanding of the wellposedness of NLS in the presence of nonsmooth or large initial data. Part of this talk is a joint work with Zhenqiu Zhang.

KW - Magnetic potential

KW - Schrödinger equations

KW - Strichartz estimates

UR - http://www.norbertwiener.umd.edu/seminars/abstracts08-09/abstract13.html

M3 - Presentation

T2 - The Norbert Wiener Center Seminar

Y2 - 17 February 2009

ER -

Strichartz Estimates for Schrödinger Equation with a Magnetic Potential

Abstract

Conference

Keywords

DC Disciplines

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