A. Shishkov

activity

20072011

most citedOn convergence in smooth gradient systems with branching of equilibria

1 citations · 2 across the 7 of their papers we have counts for

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Showing 2009 · math.APShow all

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math.AP2009

Extinction of solutions of semilinear higher order parabolic equations with degenerate absorption potential

Yves Belaud, Andrey Shishkov

We study the first vanishing time for solutions of the Cauchy-Dirichlet problem to the semilinear $2 m$ -order ( $m \geq 1$ ) parabolic equation $u_{t} + Lu + a (x) ∣ u ∣^{q - 1} u = 0$ , $0 < q < 1$ wit…

math.AP2009★ 1 cited

On convergence in smooth gradient systems with branching of equilibria

V. A. Galaktionov, S. I. Pohozaev, A. E. Shishkov

T.I. Zelenyak's ideas and method of 1968 are shown to apply to N-dimensional second- and higher-order parabolic equtions and ensure a fast exponential convergence to degenerate equ…