学术报告 - 方程方向
Gluing method and blow-up solutions for the energy critical nonlinear heat equation
郑有泉 副教授(天津大学)
2018-06-28 13:33 闵行数学楼402报告厅
摘要：Considering positive solutions for the fractional heat equation with critical exponent on a smooth bounded domain $\Omega$, we prove the existence of initial datum such that the solution blows up precisely at prescribed distinct points $q_1,\cdots, q_k$ in $\Omega$ as $t\to +\infty$. The main ingredient of the proofs is a new inner-outer gluing scheme for the fractional parabolic problems. We also apply this method in the construction of sign-changing blow-up solutions for the energy critical nonlinear heat equation in large dimensions. These are joint works with Professor Juncheng Wei.
报告人简介：郑有泉，2011年博士毕业于南开大学，现为天津大学数学学院副教授；主要研究领域为非线性偏微分方程及其应用，担任国家青年基金项目，教育部博士点基金项目主持人；主要研究结果发表在JDE、JFA、CVPDE等国际学术期刊上。
邀请人：王丽萍
