On the regularity of the flow map associated with the 1D cubic periodic half-wave equation

Vladimir Simeonov Gueorguiev; Nikolay Tzvetkov; Nicola Visciglia

On the regularity of the flow map associated with the 1D cubic periodic half-wave equation

Vladimir Simeonov Gueorguiev, Nikolay Tzvetkov, Nicola Visciglia

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

Abstract

We prove that the solution map associated with the 1D half-wave cubic equation in the periodic setting cannot be uniformly continuous on bounded sets of the periodic Sobolev spaces H^s with s ( 1/4 ; 1/2 ).

Original language	English
Pages (from-to)	183-200
Number of pages	18
Journal	Differential and Integral Equations
Volume	29
Issue number	1-2
Publication status	Published - 2016
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "On the regularity of the flow map associated with the 1D cubic periodic half-wave equation",

abstract = "We prove that the solution map associated with the 1D half-wave cubic equation in the periodic setting cannot be uniformly continuous on bounded sets of the periodic Sobolev spaces Hs with s ( 1/4 ; 1/2 ).",

author = "Gueorguiev, {Vladimir Simeonov} and Nikolay Tzvetkov and Nicola Visciglia",

year = "2016",

language = "English",

volume = "29",

pages = "183--200",

journal = "Differential and Integral Equations",

issn = "0893-4983",

publisher = "Khayyam Publishing, Inc.",

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T1 - On the regularity of the flow map associated with the 1D cubic periodic half-wave equation

AU - Gueorguiev, Vladimir Simeonov

AU - Tzvetkov, Nikolay

AU - Visciglia, Nicola

PY - 2016

Y1 - 2016

N2 - We prove that the solution map associated with the 1D half-wave cubic equation in the periodic setting cannot be uniformly continuous on bounded sets of the periodic Sobolev spaces Hs with s ( 1/4 ; 1/2 ).

AB - We prove that the solution map associated with the 1D half-wave cubic equation in the periodic setting cannot be uniformly continuous on bounded sets of the periodic Sobolev spaces Hs with s ( 1/4 ; 1/2 ).

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M3 - Article

AN - SCOPUS:85028713692

VL - 29

SP - 183

EP - 200

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 1-2

ER -