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Matematicheskie Zametki, 1996, Volume 59, Issue 6, Pages 811–820
DOI: https://doi.org/10.4213/mzm1780 (Mi mzm1780) 		 
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
Full-text PDF (178 kB) Citations (30)
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DOI: https://doi.org/10.4213/mzm1780
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
English version:
Mathematical Notes, 1996, Volume 59, Issue 6, Pages 586–593
DOI: https://doi.org/10.1007/BF02307207
Bibliographic databases:
UDC: 517.9
Language: Russian
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
Citation in format AMSBIB
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\paper Linear differential operators with unbounded operator coefficients and semigroups of bounded operators
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\jour Math. Notes
\yr 1996
\vol 59
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\pages 586--593
\crossref{https://doi.org/10.1007/BF02307207}
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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