We find explicit representation formulae for the solution to the identification problem (2.1) in a Banach space X, when the linear closed operator , with , generates an analytical semigroup exponentially decreasing at infinity. Such a general result is applied to a specific parabolic boundary value problem.
Explicit representation for the solution to a parabolic differential identification problem in a Banach space / Y. Anikonov, A. Lorenzi. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 15:7(2007 Nov), pp. 669-681. [10.1515/jiip.2007.037]
Explicit representation for the solution to a parabolic differential identification problem in a Banach space
A. LorenziUltimo
2007
Abstract
We find explicit representation formulae for the solution to the identification problem (2.1) in a Banach space X, when the linear closed operator , with , generates an analytical semigroup exponentially decreasing at infinity. Such a general result is applied to a specific parabolic boundary value problem.
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