Title: Low regularity local well-posedness of radial solutions to the extremal hypersurface equations in (1+3)-dimensional Minkowski space
Speaker: Prof. Yi Zhou ( Fudan University )
Time: 2021-5-7 (Friday) 10:30
Tencent Conference :
Conference ID：146 132 588
Inviter: Jianli Liu
Abstract: 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.