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

摘要：We construct a radially smooth positive ancient solution for energy critical semi-linear heat equation in R^n, n≥7. It blows up at the origin with the profile of multiple Talenti bubbles in the backward time infinity. We used the inner-outer gluing apporach. This work is joint with Jun-cheng Wei and Qidi Zhang.

个人简介：孙黎明，博士毕业于美国Rutgers大学，现任中国科学院数学与系统科学研究院助理研究员。主要从事椭圆型偏微分方程和非线性泛函分析的研究。曾在美国Johns Hopkins大学和加拿大UBC大学从事博士后研究工作。发表学术论文10余篇，其中部分成果发表于"Advances in Mathematics"，"Journal of Functional Analysis"，"Annali SNS-Pisa"，"Pacific Journal of Mathematics"等学术刊物上。