Geodesic
Slowly varying on infinity semigroups of operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2014), pp. 3-14

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We study the asymptotical behavior of bounded semigroups of linear operators in Banach spaces. The results are tightly connected with research of stabilisation of solutions of parabolic equations when time tends to infinity. The traditional condition of existence of an average of initial functions is not required.
Keywords: slowly varying functions, semigroups of linear operators, Beurling spectrum, harmonic analysis. 
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     author = {A. G. Baskakov and N. S. Kaluzhina and D. M. Polyakov},
     title = {Slowly varying on infinity semigroups of operators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--14},
     publisher = {mathdoc},
     number = {7},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_7_a0/}
}
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A. G. Baskakov; N. S. Kaluzhina; D. M. Polyakov. Slowly varying on infinity semigroups of operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2014), pp. 3-14. http://geodesic.mathdoc.fr/item/IVM_2014_7_a0/