报告主题：Low regularity local well-posedness of radial solutions to the extremal hypersurface equations in (1+3)-dimensional Minkowski space
报 告 人：周忆 教授（复旦大学数学科学学院）
报告时间：2021年5月7日（周五） 10:30
参会方式：腾讯会议
会议ID：146 132 588
邀请人：刘见礼
主办部门：理学院数学系
报告摘要：In this paper, we study the Cauchy problem for the radially symmetrical solutins to the extremal hypersurface equations in (1+3)-dimensional Minkowski space and prove an almost sharp local well-posedness result using the characteristic coordinates transformation. By introducing Riemann invariants and characteristic transformation we can convert the quasilinear equations to semilinear form. Based on two-dimensional KSS estimates as well as one-dimensional maximal function estimates, we can show the crucial aprior estimates which is important to prove our main result.