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- W2949806337 abstract "We study the first vanishing time for solutions of the Cauchy-Dirichlet problem to the semilinear $2m$-order ($m geq 1$) parabolic equation $u_t+Lu+a(x) |u|^{q-1}u=0$, $0 2m$ and $displaystyle int_0^1 s^{-1} text{meas} {x in Omega : |a(x)| leq s }^frac{2m}{N} ds < + infty$, then the solution $u$ vanishes in a finite time. When $N=2m$, the condition becomes $displaystyle int_0^1 s^{-1} (text{meas} {x in Omega : |a(x)| leq s }) (-ln text{meas} {x in Omega : |a(x)| leq s }) ds < + infty$." @default.
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- W2949806337 date "2010-06-01" @default.
- W2949806337 modified "2023-09-24" @default.
- W2949806337 title "Extinction of solutions of semilinear higher order parabolic equations with degenerate absorption potential" @default.
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