Y. Belaud

collaborators

2 papers

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.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}…