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This article is cited in 30 scientific papers (total in 30 papers)
Linear differential operators with unbounded operator coefficients and semigroups of bounded operators
A. G. Baskakov Voronezh State University
Abstract:
Associated with a family of evolution operators in a complex Banach space is a linear unbounded operator, which is studied with the aid of a semigroup of difference operators and a difference operator in a sequence space. Some formulas for the spectra of the linear operators in question (in particular, for abstract hyperbolic differential operators) and the spectrum mapping theorem for the semigroup of difference operators are obtained.
Received: 10.05.1994 Revised: 10.02.1995
Citation:
A. G. Baskakov, “Linear differential operators with unbounded operator coefficients and semigroups of bounded operators”, Mat. Zametki, 59:6 (1996), 811–820; Math. Notes, 59:6 (1996), 586–593
Linking options:
https://www.mathnet.ru/eng/mzm1780https://doi.org/10.4213/mzm1780 https://www.mathnet.ru/eng/mzm/v59/i6/p811
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