4 citations · 8 across the 18 of their papers we have counts for
19 papers
On blow-up conditions for nonlinear higher order evolution inequalities
A. A. Kon'kov, A. E. Shishkov
For the problem $$ \left\{ \begin{aligned} & \partial_t^k u - \sum_{|α| = m} \partial^α a_α(x, t, u) \ge f (|u|) \quad \mbox{in } {\mathbb R}_+^{n+1} = {\mathbb R}^n \times (0, \in…
On removable singular sets for solutions of higher order differential inequalities
A. A. Kon'kov, A. E. Shishkov
We obtain conditions guaranteeing that weak solutions of the differential inequality $$ \sum_{|α| = m} \partial^α a_α(x, u) \ge f (x) g (|u|) \quad \mbox{in } Ω\setminus S, $$ has…
Large and very singular solutions to semilinear elliptic equations
Andrey Shishkov
We consider equation in smooth bounded domain , , with in and on . We find th…
On large time behavior of solutions of higher order evolution inequalities with fast diffusion
A. A. Kon'kov, A. E. Shishkov
We obtain stabilization conditions and large time estimates for weak solutions of the inequality $$ \sum_{|α| = m} \partial^α a_α(x, t, u) - u_t \ge f (x, t) g (u) \quad \mbox{in }…
On removable singularities of solutions of higher order differential inequalities
A. A. Kon'kov, A. E. Shishkov
We obtain sufficient conditions for solutions of the th-order differential inequality $$ \sum_{|α| = m} \partial^αa_α(x, u) \ge f (x) g (|u|) \quad \mbox{in } B_1 \setminus \{ 0…
Localized peaking regimes for quasilinear doubly degenerate parabolic equations
Andrey E. Shishkov, Yevgeniia A. Yevgenieva
Regimes with a singular peaking for a wide class of quasilinear second order parabolic equations are studied. On the basis of energy methods, precise estimates of a final profile o…