| Autor: |
H. A. Biagioni, F. Linares |
| Předmět: |
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| Zdroj: |
Transactions of the American Mathematical Society; Sep2001, Vol. 353 Issue 9, p3649-3659, 11p |
| Abstrakt: |
Ill-posedness is established for the initial value problem (IVP) associated to the derivative nonlinear Schrödinger equation for data in $H^s(\mathbb R)$, $s<1/2$. This result implies that best result concerning local well-posedness for the IVP is in $H^s(\mathbb R), s\ge1/2$. It is also shown that the (IVP) associated to the generalized Benjamin-Ono equation for data below the scaling is in fact ill-posed. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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