Improved polynomial decay for unbounded semigroups
C. Deng (TU Delft - Beijing Delft Institute of Intelligent Science and Technology, TU Delft - Analysis)
J. Rozendaal (Polish Academy of Sciences, TU Delft - Analysis)
Mark Veraar (TU Delft - Analysis)
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Abstract
We obtain polynomial decay rates for C0-semigroups, assuming that the resolvent grows polynomially at infinity in the complex right half-plane. Our results do not require the semigroup to be uniformly bounded, and for unbounded semigroups, we improve upon previous results by, for example, removing a logarithmic loss on non-Hilbertian Banach spaces.
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File under embargo until 30-06-2025