中科院数学与系统科学研究院

数学研究所

调和分析及其应用研究中心

学术报告

调和分析和偏微分方程研讨班

报告人：杨诗武（北京大学）  

题  目：Decay estimates for the Chern-Simons-Higgs equation

时  间：2024.04.09（星期二）16:00-17:00

地  点：思源楼S415

摘  要：In this talk, I will present a recent joint work with D. Wei on the long time dynamics for solutions to the Chern-Simons-Higgs equation with a pure power defocusing nonlinearity in two space dimension. We show that the potential energy decays inverse polynormially in time. Sharp pointwise decay estimate also holds for sufficiently large power of nonlinearity. The proof relies on vector field method and a sharp geometric trace theorem developed by Klainerman-Rodnianski.