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Slowly varying at infinity operator semigroups

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Abstract

In this paper we study the asymptotic behavior of bounded semigroups of linear operators acting in Banach spaces. The obtained results are closely connected with stability conditions for solutions to parabolic equations under unrestricted growth of time. Here we make no usual assumption on the existence of the mean value of the initial function.

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Authors and Affiliations

  1. Voronezh State University, 1 Universitetskaya pl. 1, Voronezh, 394006, Russia

    A. G. Baskakov, N. S. Kaluzhina & D. M. Polyakov

Authors
  1. A. G. Baskakov
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  2. N. S. Kaluzhina
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  3. D. M. Polyakov
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Correspondence to A. G. Baskakov.

Additional information

Original Russian Text © A.G. Baskakov, N.S. Kaluzhina, D.M. Polyakov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 7, pp. 3–14.

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Baskakov, A.G., Kaluzhina, N.S. & Polyakov, D.M. Slowly varying at infinity operator semigroups. Russ Math. 58, 1–10 (2014). https://doi.org/10.3103/S1066369X14070019

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