Refined scales of decaying rates of operator semigroups on Hilbert spaces: typical behaviour

Moacir Aloisio; Silas L. Carvalho; César R. de Oliveira

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arXiv · 1804.07838

Refined scales of decaying rates of operator semigroups on Hilbert spaces: typical behaviour

Moacir Aloisio·Silas L. Carvalho·César R. de Oliveira

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Abstract

We study relations between the decaying rates of operator semigroups on Hilbert spaces and some spectral properties of their respective generators; in particular, we show that the decaying rates of orbits of semigroups which are stable but not exponentially stable, typically in Baire's sense, depend on sequences of time going to infinity.

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BibTeX RIS

Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira. 2018-04-20. Refined scales of decaying rates of operator semigroups on Hilbert spaces: typical behaviour. https://arxiv.org/abs/1804.07838

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