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arXiv · 1605.07388

Threshold and strong threshold solutions of a semilinear parabolic equation

Pavol Quittner
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Abstract

If $p>1+2/n$ then the equation $u_t-Δu = u^p, \quad x\in{\mathbb R}^n,\ t>0,$ possesses both positive global solutions and positive solutions which blow up in finite time. We study the large time behavior of radial positive solutions lying on the borderline between global existence and blow-up.

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Pavol Quittner. 2016-05-24. Threshold and strong threshold solutions of a semilinear parabolic equation. https://arxiv.org/abs/1605.07388

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