caa a22 4500 605523827 CHVBK 20210128100751.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10958-015-2587-y doi (NATIONALLICENCE)springer-10.1007/s10958-015-2587-y Cherepova M. National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia aut Solvability of the Cauchy Problem for a Parabolic Equation with Unbounded Coefficients [Elektronische Daten] [M. Cherepova] We consider the Cauchy problem in the half-space for a parabolic equation with unbounded initial data and lower order coefficients. We establish the solvability of the problem in the weighted space of Hölder functions such that the functions, together with their derivatives, admit exponential growth as t → ∞ and, near the plane t = 0, the derivatives grow not faster than a power function. Bibliography: 11 titles. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/5(2015-11-01), 736-757 1072-3374 210:5<736 2015 210 10958 https://doi.org/10.1007/s10958-015-2587-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2587-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cherepova M. National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/5(2015-11-01), 736-757 1072-3374 210:5<736 2015 210 10958