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

Published 7 Sep 2021 in math.AP | (2109.02857v1)

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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