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arXiv · 2109.02857

Bubble towers in the ancient solution of energy-critical heat equation

Liming Sun·Juncheng Wei·Qidi Zhang
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Abstract

We construct a radially smooth positive ancient solution for energy critical semi-linear heat equation in $\mathbb{R}^n$, $n\geq 7$. It blows up at the origin with the profile of multiple Talenti bubbles in the backward time infinity.

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Liming Sun, Juncheng Wei, Qidi Zhang. 2021-09-07. Bubble towers in the ancient solution of energy-critical heat equation. https://arxiv.org/abs/2109.02857

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