Artículos de revistas
Ill-posedness for the derivative Schrodinger and generalized Benjamin-Ono equations
Registro en:
Transactions Of The American Mathematical Society. Amer Mathematical Soc, v. 353, n. 9, n. 3649, n. 3659, 2001.
0002-9947
WOS:000168998400011
10.1090/S0002-9947-01-02754-4
Autor
Biagioni, HA
Linares, F
Institución
Resumen
Ill-posedness is established for the initial value problem (IVP) associated to the derivative nonlinear Schrodinger equation for data in H-s (R), s < 1/2. This result implies that best result concerning local well-posedness for the IVP is in H-s ( R), s <greater than or equal to> 1/2. It is also shown that the (IVP) associated to the generalized Benjamin-Ono equation for data below the scaling is in fact ill-posed. 353 9 3649 3659