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

Abstract

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

45 pages; comments welcome

References in corpus (1)

• Refined blowup analysis and nonexistence of Type II blowups for an energy critical nonlinear heat equation