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Asymptotic behaviour of non-autonomous dissipative systems in Hilbert space
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we discuss the asymptotic behaviour, as t → ∞, of the integral solution u(t) of the non-linear evolution equation where {A(t)}t≥0 is a family of m-dissipative operators in a Hilbert space H, and g ∈ Lloc (0, ∞ H).We give some sufficient conditions and some sufficient and necessary conditions to ensure that are weakly convergent.
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- Copyright © Australian Mathematical Society 1997