Linear First-Order Evolution Problems Without Initial Conditions |
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Authors: | Mykola Bokalo Alfredo Lorenzi |
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Affiliation: | 1. Department of Mechanics and Mathematics, L’viv National University, Universytetska st., 1, 79000, Lviv, Ukraine 2. Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, via Saldini 50, 20133, Milano, Italy
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Abstract: | Direct and inverse problems for first-order in time linear evolution problems without initial conditions, i.e. related to the unbounded time-intervals (−∞, 0] and mathbbR{mathbb{R}}, are considered in the framework of Banach spaces. Some degenerate in time problems related to a bounded time-interval are also considered. The approach for solving the previous problems is related to both C 0-and Analytic Semigroup Theory. |
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