On the behaviour of solutions of parabolic equations for large values of timeстатья
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Дата последнего поиска статьи во внешних источниках: 11 ноября 2015 г.
Аннотация:This paper is a survey of classical and new results on stabilization of solutions of the Cauchy problem and mixed problems for second-order linear parabolic equations. Proofs are given for some new results about exact sufficient conditions on the behaviour of lower-order coefficients of the parabolic equation; these conditions ensure stabilization of a solution of the Cauchy problem for the parabolic equation in the class of bounded or increasing initial functions/