On the "blow-up'' of the solution of an initial-boundary value problem for a nonlinear nonlocal equation of pseudo-parabolic typeстатья
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Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
Местоположение издательства:Road Town, United Kingdom
Первая страница:2104
Последняя страница:2111
Аннотация:We consider the first initial-boundary value problem for a nonlinear nonlocal equation of pseudo-parabolic type. We prove its local unique solvability and, under certain conditions on the nonlinearity, we also prove solvability in any finite cylinder. Under opposite conditions we prove the finite-time `blow-up' of the solution. We obtain two-sided estimates for the blow-up time of the solution of the problem and also optimal two-sided estimates for the blow-up rate under certain conditions on the nonlinearity.