Low regularity solutions for a 2D quadratic non-linear Schrödinger equation
| dc.creator | Bejenaru, Ioan | |
| dc.creator | De Silva, Daniela | |
| dc.date | 2006-09-08 | |
| dc.date.accessioned | 2026-07-07T07:24:39Z | |
| dc.date.available | 2026-07-07T07:24:39Z | |
| dc.description | We establish that the initial value problem for the quadratic non-linear Schrödinger equation $$ iu_t - Δu = u^2$$ where $u: \R^2 \times \R \to \C$, is locally well-posed in $H^s(\R^2)$ when $s > -1$. The critical exponent for this problem is $s_c=-1$ and previous work in \cite{c1} established local well-posedness for $s > -3/4$. | |
| dc.identifier | https://arxiv.org/abs/math/0609241 | |
| dc.identifier | http://arxiv.org/abs/math/0609241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116441 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35K55 | |
| dc.title | Low regularity solutions for a 2D quadratic non-linear Schrödinger equation | |
| dc.type | text |