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 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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Gueorguiev, V. S., Tzvetkov, N., & Visciglia, N. (2016). On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. Differential and Integral Equations, 29(1-2), 183-200.