Symplectic non-squeezing for mass subcritical fourth-order schrödinger equations

Qianyun Miao

doi:10.4064/cm7088-11-2016

Symplectic non-squeezing for mass subcritical fourth-order schrödinger equations

Qianyun Miao^*

^*Corresponding author for this work

Beihang University

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

1 Citation (Scopus)

Abstract

Applying strategies of R. Killip et al. (2016), we establish symplectic non-squeezing for the mass subcritical fourth-order Schrödinger equations iu_t − ∆²u = ±|u|^pu with 3/2 < p < 8 in dimension one.

Original language	English
Pages (from-to)	137-164
Number of pages	28
Journal	Colloquium Mathematicum
Volume	149
Issue number	1
DOIs	https://doi.org/10.4064/cm7088-11-2016
Publication status	Published - 2017
Externally published	Yes

Keywords

Fourth-order Schrödinger equation
Mass subcritical
Symplectic non-squeezing

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10.4064/cm7088-11-2016

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title = "Symplectic non-squeezing for mass subcritical fourth-order schr{\"o}dinger equations",

abstract = "Applying strategies of R. Killip et al. (2016), we establish symplectic non-squeezing for the mass subcritical fourth-order Schr{\"o}dinger equations iut − ∆2u = ±|u|pu with 3/2 < p < 8 in dimension one.",

keywords = "Fourth-order Schr{\"o}dinger equation, Mass subcritical, Symplectic non-squeezing",

author = "Qianyun Miao",

note = "Publisher Copyright: {\textcopyright} Instytut Matematyzny PAN, 2017.",

year = "2017",

doi = "10.4064/cm7088-11-2016",

language = "English",

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pages = "137--164",

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AU - Miao, Qianyun

N1 - Publisher Copyright: © Instytut Matematyzny PAN, 2017.

PY - 2017

Y1 - 2017

N2 - Applying strategies of R. Killip et al. (2016), we establish symplectic non-squeezing for the mass subcritical fourth-order Schrödinger equations iut − ∆2u = ±|u|pu with 3/2 < p < 8 in dimension one.

AB - Applying strategies of R. Killip et al. (2016), we establish symplectic non-squeezing for the mass subcritical fourth-order Schrödinger equations iut − ∆2u = ±|u|pu with 3/2 < p < 8 in dimension one.

KW - Fourth-order Schrödinger equation

KW - Mass subcritical

KW - Symplectic non-squeezing

UR - https://www.scopus.com/pages/publications/85027048368

U2 - 10.4064/cm7088-11-2016

DO - 10.4064/cm7088-11-2016

M3 - Article

AN - SCOPUS:85027048368

SN - 0010-1354

VL - 149

SP - 137

EP - 164

JO - Colloquium Mathematicum

JF - Colloquium Mathematicum

IS - 1

ER -

Symplectic non-squeezing for mass subcritical fourth-order schrödinger equations

Abstract

Keywords

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