 93194 Bricmont J., Kupiainen A.
 Stable NonGaussian diffusive profiles
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Jun 28, 93

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Abstract. We prove two stability results for the
scale invariant solutions
of the nonlinear heat equation $\partial_t u=\Delta u  u^{p1}u$ with
$1<p<1+{2\over n}$, $n$ being the spatial dimension. The first result is
that a small perturbation of a scale invariant solution vanishes as
$t\rightarrow\infty$. The second result is global, with a positivity
condition on the initial data.
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