On the ill-posedness result for the BBM equation
We prove that the initial value problem (IVP) for the BBM equation is ill-posed for data in Hs(R), s < 0 in the sense that the ow-map u0 7! u(t) that associates to initial data u0 the solution u cannot be continuous at the origin from Hs(R) to even D0(R) at any _xed t > 0 small enough. This re...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2011
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| Texto completo: | http://hdl.handle.net/1822/13473 |
| País: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/13473 |