## On the blowup of multidimensional semilinear heat equations.(English)Zbl 0815.35039

This paper is concerned with positive, blowing-up solutions of the semilinear heat equation $$u_ t - \Delta u = u^ p$$ in $$\mathbb{R}^ n \times (0,T)$$, $$p > 1$$. The refined asymptotics for $$u$$ in a backward space-time parabola near a blowup point are calculated and the properties concerning the local structure of the blowup set are obtained.
Reviewer: J.Diblík (Brno)

### MSC:

 35K55 Nonlinear parabolic equations 35B40 Asymptotic behavior of solutions to PDEs
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### References:

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