学术报告（杨诗武 2024.1.13）

摘要：In this talk, I will present a work in progress 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.