Exponential Stabilization for C0 -Semigroups Under Compact PerturbationOA
Exponential Stabilization for C0 -Semigroups Under Compact Perturbation
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.
LILT Li-xin
Department of Mathematics and Physics, Panzhihua University, Panzhihua 617000, China
Compact perturbationExponential stabilizationIsometric C0-semigroupPolynomial growth for negative time
Compact perturbationExponential stabilizationIsometric C0-semigroupPolynomial growth for negative time
《西南交通大学学报（英文版）》 2008 (3)
295-297,3
Project of Sichuan Provincial Science and Technology Department ( No. 2007J13-006)
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