On Nonlinear Schrödinger Equations with Magnetic Fields

Shijun Zheng

On Nonlinear Schrödinger Equations with Magnetic Fields

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

The dissipative mechanism of the Schroedinger equation is mathematically described by the energy decay of the solution. We mainly address how an electromagnetic field affects the local and global in time existence for certain nonlinear Schroedinger equations. In the focusing case we show that the construction of solitons contributes to the profile decomposition of the solution.

Original language	American English
State	Published - Mar 11 2013
Event	International Workshop on Nonlinear and Modern Mathematical Physics (NMMP) - Tampa, FL Duration: Mar 11 2013 → …

Conference

Conference	International Workshop on Nonlinear and Modern Mathematical Physics (NMMP)
Period	03/11/13 → …

Keywords

Magnetic fields
Schroedinger equations

DC Disciplines

Mathematics

Cite this

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title = "On Nonlinear Schr{\"o}dinger Equations with Magnetic Fields",

abstract = " The dissipative mechanism of the Schroedinger equation is mathematically described by the energy decay of the solution. We mainly address how an electromagnetic field affects the local and global in time existence for certain nonlinear Schroedinger equations. In the focusing case we show that the construction of solitons contributes to the profile decomposition of the solution.",

keywords = "Magnetic fields, Schroedinger equations",

author = "Shijun Zheng",

year = "2013",

month = mar,

day = "11",

language = "American English",

note = "International Workshop on Nonlinear and Modern Mathematical Physics (NMMP) ; Conference date: 11-03-2013",

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TY - CONF

T1 - On Nonlinear Schrödinger Equations with Magnetic Fields

AU - Zheng, Shijun

PY - 2013/3/11

Y1 - 2013/3/11

N2 - The dissipative mechanism of the Schroedinger equation is mathematically described by the energy decay of the solution. We mainly address how an electromagnetic field affects the local and global in time existence for certain nonlinear Schroedinger equations. In the focusing case we show that the construction of solitons contributes to the profile decomposition of the solution.

AB - The dissipative mechanism of the Schroedinger equation is mathematically described by the energy decay of the solution. We mainly address how an electromagnetic field affects the local and global in time existence for certain nonlinear Schroedinger equations. In the focusing case we show that the construction of solitons contributes to the profile decomposition of the solution.

KW - Magnetic fields

KW - Schroedinger equations

UR - http://www.math.usf.edu/2ndNMMP/form/Abstracts-2ndNMMP-Tampa.pdf

M3 - Presentation

T2 - International Workshop on Nonlinear and Modern Mathematical Physics (NMMP)

Y2 - 11 March 2013

ER -

On Nonlinear Schrödinger Equations with Magnetic Fields

Abstract

Conference

Keywords

DC Disciplines

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