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 journalArticle

3 Citations (Scopus)

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 ).

Original languageEnglish
Pages (from-to)183-200
Number of pages18
JournalDifferential and Integral Equations
Volume29
Issue number1-2
Publication statusPublished - 2016
Externally publishedYes

Fingerprint

Sobolev spaces
Wave equations
Wave equation
Regularity
Cubic equation
Uniformly continuous
Bounded Set
Sobolev Spaces

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. / Gueorguiev, Vladimir Simeonov; Tzvetkov, Nikolay; Visciglia, Nicola.

In: Differential and Integral Equations, Vol. 29, No. 1-2, 2016, p. 183-200.

Research output: Contribution to journalArticle

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