Direct and inverse problems for first-order in time linear evolution problems without initial conditions, i.e. related to the unbounded time interval $(-\infty,0]$, are considered in the framework of Banach spaces. The approach for solving such problems is related to the Semigroup Theory. The inverse problem consists of recovering an unknown element in the Banach space entering the source term.
Linear first-order evolution problems without initial conditions / M. Bokalo, A. Lorenzi. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - 77:1(2009), pp. 437-494.
Linear first-order evolution problems without initial conditions
A. LorenziUltimo
2009
Abstract
Direct and inverse problems for first-order in time linear evolution problems without initial conditions, i.e. related to the unbounded time interval $(-\infty,0]$, are considered in the framework of Banach spaces. The approach for solving such problems is related to the Semigroup Theory. The inverse problem consists of recovering an unknown element in the Banach space entering the source term.
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