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Bounded solutions of linear periodic abstract parabolic equations

Published online by Cambridge University Press:  14 November 2011

Alessandra Lunardi
Alessandra Lunardi
Affiliation:
Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 1-56100 Pisa, Italy
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Synopsis

We study the asymptotic behaviour of the parabolic evolution operator G(t, s) associated with a family of generators of analytic semigroups {A(t); t ∊ ℝ} in general Banach space, under the periodicity assumption A(t) = A(t + T). We find new maximal regularity results for the bounded solutions of abstract nonhomogeneous parabolic equations in unbounded time intervals.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 1-2 , 1988 , pp. 135 - 159
Copyright
Copyright © Royal Society of Edinburgh 1988

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