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On a singular evolution equation in Banach spaces
Authors:Giovanni Dore  Alberto Venni
Affiliation:Dipartimento di Matematica, Universitá di Bologna, Piazza di Porta S. Donato, 5, 40127 Bologna, Italy
Abstract:
We study the differential equation tu′(t) + Au(t) = f(t), 0 < t < ∞, in Banach spaces. We obtain existence and uniqueness theorems for the solutions as well as regularity properties in suitable interpolation spaces.
Keywords:
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