ON THE GLOBAL WELL-POSEDNESS OF THE ONE-DIMENSIONAL SCHRÖDINGER MAP FLOW

Igor Rodnianski; Yanir A. Rubinstein; Gigliola Staffilani

doi:10.2140/apde.2009.2.187

ON THE GLOBAL WELL-POSEDNESS OF THE ONE-DIMENSIONAL SCHRÖDINGER MAP FLOW

Igor Rodnianski, Yanir A. Rubinstein, Gigliola Staffilani

Mathematics

Princeton University

Research output: Contribution to journal › Article › peer-review

Abstract

We establish the global well-posedness of the initial value problem for the Schrödinger map flow for maps from the real line into Kähler manifolds and for maps from the circle into Riemann surfaces. This partially resolves a conjecture of W.-Y. Ding.

Original language	American English
Pages (from-to)	187-209
Number of pages	23
Journal	Analysis and PDE
Volume	2
Issue number	2
DOIs	https://doi.org/10.2140/apde.2009.2.187
State	Published - 2009

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

Keywords

Cubic nls
Kähler manifolds
Periodic nls
Schrödinger flow
Strichartz estimates

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10.2140/apde.2009.2.187

Cite this

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title = "ON THE GLOBAL WELL-POSEDNESS OF THE ONE-DIMENSIONAL SCHR{\"O}DINGER MAP FLOW",

abstract = "We establish the global well-posedness of the initial value problem for the Schr{\"o}dinger map flow for maps from the real line into K{\"a}hler manifolds and for maps from the circle into Riemann surfaces. This partially resolves a conjecture of W.-Y. Ding.",

keywords = "Cubic nls, K{\"a}hler manifolds, Periodic nls, Schr{\"o}dinger flow, Strichartz estimates",

author = "Igor Rodnianski and Rubinstein, {Yanir A.} and Gigliola Staffilani",

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AU - Rubinstein, Yanir A.

AU - Staffilani, Gigliola

PY - 2009

Y1 - 2009

N2 - We establish the global well-posedness of the initial value problem for the Schrödinger map flow for maps from the real line into Kähler manifolds and for maps from the circle into Riemann surfaces. This partially resolves a conjecture of W.-Y. Ding.

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KW - Periodic nls

KW - Schrödinger flow

KW - Strichartz estimates

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ON THE GLOBAL WELL-POSEDNESS OF THE ONE-DIMENSIONAL SCHRÖDINGER MAP FLOW

Abstract

ASJC Scopus subject areas

Keywords

Access to Document

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