Null controllability for a parabolic-elliptic coupled system

Details Null controllability for a parabolic-elliptic coupled system Null controllability for a parabolic-elliptic coupled system

2012-04-13

arxiv.org/abs/1204.3072v1

Mathematics

Optimization and Control

Scientific paper

In this paper, we prove the null controllability of some parabolic-elliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-point reformulation and suitable Carleman estimates for the solutions to the adjoint system. Under appropriate assumptions, we also prove that the solution can be obtained as the asymptotic limit of some similar parabolic systems.

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