A. Shishkov

activity

20072009

most citedOn convergence in smooth gradient systems with branching of equilibria

1 citations · 1 across the 6 of their papers we have counts for

collaborators

Showing 2008 · math.APShow all

3 papers · 2 filters

math.AP2008

The balance between diffusion and absorption in semilinear parabolic equations

Andrey Shishkov, Laurent Veron

Let $h : [0, \infty) \mapsto [0, \infty)$ be continuous and nondecreasing, $h (t) > 0$ if $t > 0$ , and $m, q$ be positive real numbers. We investigate the behavior when $k \to \infty$ of the fu…

math.AP2008

Diffusion versus absorption in semilinear parabolic equations

Andrey Shishkov, Laurent Veron

We study the limit, when $k \to \infty$ , of the solutions $u = u_{k}$ of (E) $\prt_{t}u-Δu+ h(t)u^q=0$ in $\BBR^N\ti (0,\infty)$, $u_{k} (., 0) = k δ_{0}$ , with $q > 1$ , $h (t) > 0$ . If $h(t)=e^…

math.AP2008

Long-time extinction of solutions of some semilinear parabolic equations

Yves Belaud, Andrey Shishkov

We study the long time behaviour of solutions of semi-linear parabolic equation of the following type $\partial_{t} u - Δ u + a_{0} (x) u^{q} = 0$ where $a_0(x) \geq d_0 \exp(\frac{ω(|x|)}{|x|^2}…