93-194 Bricmont J., Kupiainen A.
Stable Non-Gaussian diffusive profiles (30K, Latex) Jun 28, 93
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Abstract. We prove two stability results for the scale invariant solutions of the nonlinear heat equation $\partial_t u=\Delta u - |u|^{p-1}u$ 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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