Low regularity local well-posedness of the Derivative Nonlinear Schrödinger Equation with periodic initial data
| dc.creator | Grünrock, A. | |
| dc.creator | Herr, S. | |
| dc.date | 2007-04-23 | |
| dc.date.accessioned | 2026-07-07T13:03:55Z | |
| dc.date.available | 2026-07-07T13:03:55Z | |
| dc.description | The Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary condition is considered. Local well-posedness for periodic initial data u_0 in the space ^H^s_r, defined by the norms ||u_0||_{^H^s_r}=||<xi>^s ^u_0||_{l^r'} is shown in the parameter range s>= 1/2, 2>r>4/3. The proof is based on an adaptation of the gauge transform to the periodic setting and an appropriate variant of the Fourier restriction norm method. | |
| dc.description | 29 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0704.2996 | |
| dc.identifier | http://arxiv.org/abs/0704.2996 | |
| dc.identifier | SIAM J. Math. Anal. (2008), Vol. 39, No. 6, pp. 1890-1920 | |
| dc.identifier | doi:10.1137/070689139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226980 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q55 | |
| dc.title | Low regularity local well-posedness of the Derivative Nonlinear Schrödinger Equation with periodic initial data | |
| dc.type | text |