Exponential Stabilization for C0 -Semigroups Under Compact Perturbation |
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| Authors: | LILT Li-xin |
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| Institution: | Department of Mathematics and Physics, Panzhihua University, Panzhihua 617000, China |
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| Abstract: | It is proved that a system under compact perturbation cannot be uniformly exponentially stable for an isometric C0-semigroup or a C0-group with polynomial growth for negative time in a Banach space. The results extend and improve the corresponding results of previous literature. |
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| Keywords: | Compact perturbation Exponential stabilization Isometric C0-semigroup Polynomial growth for negative time |
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