On blow-up conditions for nonlinear higher order evolution inequalities

A. A. Kon'kov, A. E. Shishkov

For the problem $$ \left\{ \begin{aligned} & \partial_t^k u - \sum_{|α| = m} \partial^α a_α(x, t, u) \ge f (|u|) \quad \mbox{in } {\mathbb R}_+^{n+1} = {\mathbb R}^n \times (0,…