Discrete Fourier Restriction Associated With Some Dispersive Equations on Torus

Yi Hu; Xiaochun Li

Discrete Fourier Restriction Associated With Some Dispersive Equations on Torus

Yi Hu, Xiaochun Li

Mathematical Sciences

University of Illinois at Urbana-Champaign

Research output: Contribution to conference › Presentation

Abstract

When solving the local wellposedness of nonlinear Schrödinger equations (NLS), one needs the Strichartz estimate to control the nonlinear term. When we consider the NLS on torus, however, the exact periodic analogue of the continuous Strichartz estimate fails, which forces us to find some new inequalities of the same type. In this talk, some results for this type of restriction as well as some other related topics will be presented, including similar results for KdV equations on torus.

Original language	American English
State	Published - Apr 5 2014
Event	Spring Western Sectional Meeting of the American Mathematical Society (AMS) - Albequerque, NM Duration: Apr 5 2014 → …

Conference

Conference	Spring Western Sectional Meeting of the American Mathematical Society (AMS)
Period	04/5/14 → …

Keywords

Fourier restriction
Nonlinear Schrodinger equations
Strichartz estimate
Torus

DC Disciplines

Mathematics

Cite this

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title = "Discrete Fourier Restriction Associated With Some Dispersive Equations on Torus",

abstract = " When solving the local wellposedness of nonlinear Schr{\"o}dinger equations (NLS), one needs the Strichartz estimate to control the nonlinear term. When we consider the NLS on torus, however, the exact periodic analogue of the continuous Strichartz estimate fails, which forces us to find some new inequalities of the same type. In this talk, some results for this type of restriction as well as some other related topics will be presented, including similar results for KdV equations on torus.",

keywords = "Fourier restriction, Nonlinear Schrodinger equations, Strichartz estimate, Torus",

author = "Yi Hu and Xiaochun Li",

note = "Yi Hu and Xiaochun Li. {"}Discrete Fourier restriction associated with some dispersive equations on torus{"} AMS Western Spring Sectional Meeting. University of New Mexico. Apr. 2014. source:http://www.ams.org/amsmtgs/2215_abstracts/1099-42-70.pdf; Spring Western Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 05-04-2014",

year = "2014",

month = apr,

day = "5",

language = "American English",

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TY - CONF

T1 - Discrete Fourier Restriction Associated With Some Dispersive Equations on Torus

AU - Hu, Yi

AU - Li, Xiaochun

N1 - Yi Hu and Xiaochun Li. "Discrete Fourier restriction associated with some dispersive equations on torus" AMS Western Spring Sectional Meeting. University of New Mexico. Apr. 2014. source:http://www.ams.org/amsmtgs/2215_abstracts/1099-42-70.pdf

PY - 2014/4/5

Y1 - 2014/4/5

N2 - When solving the local wellposedness of nonlinear Schrödinger equations (NLS), one needs the Strichartz estimate to control the nonlinear term. When we consider the NLS on torus, however, the exact periodic analogue of the continuous Strichartz estimate fails, which forces us to find some new inequalities of the same type. In this talk, some results for this type of restriction as well as some other related topics will be presented, including similar results for KdV equations on torus.

AB - When solving the local wellposedness of nonlinear Schrödinger equations (NLS), one needs the Strichartz estimate to control the nonlinear term. When we consider the NLS on torus, however, the exact periodic analogue of the continuous Strichartz estimate fails, which forces us to find some new inequalities of the same type. In this talk, some results for this type of restriction as well as some other related topics will be presented, including similar results for KdV equations on torus.

KW - Fourier restriction

KW - Nonlinear Schrodinger equations

KW - Strichartz estimate

KW - Torus

UR - http://www.ams.org/amsmtgs/2215_abstracts/1099-42-70.pdf

M3 - Presentation

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

Y2 - 5 April 2014

ER -

Discrete Fourier Restriction Associated With Some Dispersive Equations on Torus

Abstract

Conference

Keywords

DC Disciplines

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