Abstract
We consider parabolic equations whose zero solutions are unstable. We stabilize them by constructing their feedback modifications, introduced by Sakawa and Matsushita [15], Nambu [12, 13], Triggiani [18, 19] and Yamamoto [20]. Along the line of our previous work of abstract theory [16], we refine and generalize their stabilizability theorems. Finally, we see how our linear theory applies to semilinear equations.
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Suzuki, T., Yamamoto, M. Observability, controllability, and feedback stabilizability for evolution equations, II. Japan J. Appl. Math. 2, 309–327 (1985). https://doi.org/10.1007/BF03167080
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DOI: https://doi.org/10.1007/BF03167080