Unique continuation principle for systems of parabolic equations. (English) Zbl 1195.35080
The authors prove a unique continuation result for a cascade system of parabolic equations in which the solution of the first equation is (partially) used as a forcing term for the second equation. As a consequence, the existence of \(\varepsilon\)-insensitizing controls for some parabolic equations when the control region and the observability region do not intersect, is proved.
Reviewer: Gheorghe Aniculăesei (Iaşi)
MSC:
| 35B60 | Continuation and prolongation of solutions to PDEs |
| 93B05 | Controllability |
| 35K51 | Initial-boundary value problems for second-order parabolic systems |
| 93C20 | Control/observation systems governed by partial differential equations |
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