On a singular evolution equation in Banach spaces |
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Authors: | Giovanni Dore Alberto Venni |
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Affiliation: | Dipartimento di Matematica, Universitá di Bologna, Piazza di Porta S. Donato, 5, 40127 Bologna, Italy |
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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. |
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