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math.AP2018
Generalization of the Keller-Osserman theorem for higher order differential inequalities
A. A. Kon'kov, A. E. Shishkov
We obtain exact conditions guaranteeing that any global weak solution of the differential inequality $$ \sum_{|α| = m} \partial^α a_α(x, u) \ge g (|u|) \quad \mbox{in } {\mathbb R}…
math.AP2018
On stabilization of solutions of higher order evolution inequalities
A. A. Kon'kov, A. E. Shishkov
We obtain sharp conditions guaranteeing that every non-negative weak solution of the inequality $$ \sum_{|α| = m} \partial^α a_α(x, t, u) - u_t \ge f (x, t) g (u) \quad \mbox{in} {…