Null controllability for the parabolic equation with a complex principal part
| dc.creator | Fu, Xiaoyu | |
| dc.date | 2008-05-25 | |
| dc.date.accessioned | 2026-07-07T09:40:50Z | |
| dc.date.available | 2026-07-07T09:40:50Z | |
| dc.description | This paper is addressed to a study of the null controllability for the semilinear parabolic equation with a complex principal part. For this purpose, we establish a key weighted identity for partial differential operators $(\a+i\b)\pa_t+\sum\limits_{j,k=1}^n\pa_k(a^{jk}\pa_j)$ (with real functions $\a$ and $\b$), by which we develop a universal approach, based on global Carleman estimate, to deduce not only the desired explicit observability estimate for the linearized complex Ginzburg-Landau equation, but also all the known controllability/observability results for the parabolic, hyperbolic, Schrödinger and plate equations that are derived via Carleman estimates. | |
| dc.identifier | https://arxiv.org/abs/0805.3808 | |
| dc.identifier | http://arxiv.org/abs/0805.3808 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161617 | |
| dc.subject | Optimization and Control | |
| dc.title | Null controllability for the parabolic equation with a complex principal part | |
| dc.type | text |