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math.AP2017
On blow-up conditions for solutions of higher order differential inequalities
A. A. Kon'kov, A. E. Shishkov
For differential inequalities of the form $$ \sum_{|α| = m} (- 1)^m \partial^α a_α(x, u) \ge b (x) |u|^λ \quad \mbox{in } {\mathbb R}^n, \: n \ge 1, $$ where and are some…
math.AP2017
On stabilization of solutions of nonlinear parabolic equations with a gradient term
Andrej A. Kon'kov
For parabolic equations of the form $$ \frac{\partial u}{\partial t} - \sum_{i,j=1}^n a_{ij} (x, u) \frac{\partial^2 u}{\partial x_i \partial x_j} + f (x, u, D u) = 0 \quad \mbox{i…