On the "blow-up'' of solutions of semilinear equations of pseudoparabolic type with rapidly growing nonlinearitiesстатья
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Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
Местоположение издательства:Road Town, United Kingdom
Первая страница:138
Последняя страница:148
Аннотация:We consider the first initial-boundary value problems for nonlinear equations of pseudoparabolic type with rapidly growing nonlinearities. We prove unique solvability in the classical sense and in a `weakened' sense. Moreover, the maximum modulus of the solution with respect to the space variable tends to infinity in finite time, i.e., a strong discontinuity of the solution of the problems considered is formed in finite time