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 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 |
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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 journal › Article
}
TY - JOUR
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 ).
UR - http://www.scopus.com/inward/record.url?scp=85028713692&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85028713692&partnerID=8YFLogxK
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 -