On the Cauchy- and periodic boundary value problem for a certain class of derivative nonlinear Schroedinger equations
| dc.creator | Gruenrock, Axel | |
| dc.date | 2000-06-26 | |
| dc.date.accessioned | 2026-07-07T04:36:05Z | |
| dc.date.available | 2026-07-07T04:36:05Z | |
| dc.description | The Cauchy- and periodic boundary value problem for the nonlinear Schroedinger equations in $n$ space dimensions [u_t - iΔu = (\nabla \bar{u})^β, |β|=m \ge 2, u(0)=u_0 \in H^{s+1}_x] is shown to be locally well posed for $s > s_c := \frac{n}{2} - \frac{1}{m-1}$, $s \ge 0$. In the special case of space dimension $n=1$ a global $L^2$-result is obtained for NLS with the nonlinearity $N(u)= \partial_x (\bar{u} ^2)$. The proof uses the Fourier restriction norm method. | |
| dc.identifier | https://arxiv.org/abs/math/0006195 | |
| dc.identifier | http://arxiv.org/abs/math/0006195 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59478 | |
| dc.subject | Analysis of PDEs | |
| dc.title | On the Cauchy- and periodic boundary value problem for a certain class of derivative nonlinear Schroedinger equations | |
| dc.type | text |