@article{2c2945e660ff4ff1a3e0b1773dd59a36,

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 = "Vladimir Georgiev and Nikolay Tzvetkov and Nicola Visciglia",

note = "Funding Information: AMS Subject Classifications: 35B65, 35B20, 35B45. Accepted for publication: August 2015. The first author was supported in part by Contract FIRB ”Dinamiche Dispersive: Anal-isi di Fourier e Metodi Variazionali.”, 2012, by INDAM, GNAMPA - Gruppo Nazionale per l{\textquoteright}Analisi Matematica, la Probabilita e le loro Applicazion and by Institute of Mathematics and Informatics, Bulgarian Academy of Sciences. The second author was supported in part by the ERC grant Dispeq. The third author was supported in part by Contract FIRB ”Dinamiche Dispersive: Analisi di Fourier e Metodi Variazionali.”, 2012.",

year = "2016",

language = "English",

volume = "29",

pages = "183--200",

journal = "Differential and Integral Equations",

issn = "0893-4983",

publisher = "Khayyam Publishing, Inc.",

number = "1-2",

}