Nonlinear Schrödinger Equation with a Magnetic Potential

Shijun Zheng

Nonlinear Schrödinger Equation with a Magnetic Potential

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

The dissipative mechanism of the 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 local wellposedness for semilinear Schrödinger equation in certain 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 - Oct 5 2010
Event	Georgia Institute of Technology PDE Seminar - Atlanta, GA Duration: Oct 5 2010 → …

Conference

Conference	Georgia Institute of Technology PDE Seminar
Period	10/5/10 → …

Disciplines

Mathematics

Keywords

Schroedinger Equation
Zhenqiu Zhang

Cite this

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title = "Nonlinear Schr{\"o}dinger Equation with a Magnetic Potential",

abstract = " The dissipative mechanism of the 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 local wellposedness for semilinear Schr{\"o}dinger equation in certain 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 = "Schroedinger Equation, Zhenqiu Zhang",

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 local wellposedness for semilinear Schroedinger equation in certain external magnetic field.; Georgia Institute of Technology PDE Seminar ; Conference date: 05-10-2010",

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language = "American English",

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T1 - Nonlinear 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 local wellposedness for semilinear Schroedinger equation in certain external magnetic field.

PY - 2010/10/5

Y1 - 2010/10/5

N2 - The dissipative mechanism of the 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 local wellposedness for semilinear Schrödinger equation in certain 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 the 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 local wellposedness for semilinear Schrödinger equation in certain 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 - Schroedinger Equation

KW - Zhenqiu Zhang

UR - http://www.math.gatech.edu/seminars-colloquia/series/pde-seminar/prof-shijun-zheng-20101005

M3 - Presentation

T2 - Georgia Institute of Technology PDE Seminar

Y2 - 5 October 2010

ER -

Nonlinear Schrödinger Equation with a Magnetic Potential

Abstract

Conference

Disciplines

Keywords

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