A. Shishkov

activity

20072023

most citedFading absorption in non-linear elliptic equations

4 citations · 8 across the 18 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math.AP2010

The thin film equation with backwards second order diffusion

Amy Novick-Cohen, Andrey Shishkov

In this paper, we focus on the thin film equation with lower order "backwards" diffusion which can describe, for example, the evolution of thin viscous films in the presence of gra…

math.AP2010

Singular solutions to the heat equations with nonlinear absorption and Hardy potentials

Vitali Liskevich, Andrey Shishkov, Zeev Sobol

We study the existence and nonexistence of singular solutions to the equation $u_{t} - Δ u - \frac{κ}{∣ x ∣ ^{2}} u + ∣ x ∣^{α} u ∣ u ∣^{p - 1} = 0$ , $p > 1$ , in $R^{N} \times [0, \infty)$ , $N \geq 3$ , with a singul…