Null controllability for the parabolic equation with a complex principal part |
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Authors: | Xiaoyu Fu |
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Institution: | School of Mathematics, Sichuan University, Chengdu 610064, China |
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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. |
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Keywords: | Null controllability Observability Universal approach Carleman estimate Parabolic equation with a complex principal part |
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