Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592506 | Journal of Functional Analysis | 2009 | 22 Pages |
Abstract
The paper is devoted 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 (with real functions α and β), 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory