Slowly varying at infinity operator semigroups
Anatoly Grigorievich Baskakov, Natalya Sergeevna Kaluzhina, Dmitry Mikhailovich Polyakov · Russian Mathematics · 2014
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.