On the evolution operator for abstract parabolic equations |
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| Authors: | Alessandra Lunardi |
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| Institution: | (1) Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 56100 Pisa, Italy |
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| Abstract: | We find a new construction of the evolution operatorG(t, s) associated to a family {A(t), 0≦t≦T} of generators of analytic semigroups in a Banach spaceX. We study the dependence ofG (t, s) ont ands, and we give regularity results for the solution of the i.v.p.u′(t)=A(t)u(t)+f(t),u(0)=x. |
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