In this paper we derive asymptotic-in-time linear estimates in Hardy spaces Hp(Rn) for the Cauchy problem for evolution operators with structural dissipation. The obtained estimates are a natural extension of the known Lp- Lq estimates, 1 ≤ p≤ q≤ ∞, for these models. Different, standard, tools to work in Hardy spaces, are used to derive optimal estimates.
Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation
D'ABBICCO, MARCELLO;
2016-01-01
Abstract
In this paper we derive asymptotic-in-time linear estimates in Hardy spaces Hp(Rn) for the Cauchy problem for evolution operators with structural dissipation. The obtained estimates are a natural extension of the known Lp- Lq estimates, 1 ≤ p≤ q≤ ∞, for these models. Different, standard, tools to work in Hardy spaces, are used to derive optimal estimates.File in questo prodotto:
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