Solutions to the Einstein-scalar-field system in spherical symmetry with
主 题: Solutions to the Einstein-scalar-field system in spherical symmetry with
报告人: 杨诗武博士 (Centre for Mathematical Sciences, University of Cambridge)
时 间: 2015-12-03 16：00-17：00
地 点: 理1493
It is well-known that small, regular, spherically symmetric characteristic initial data to the Einstein scalar-field system which are decaying at (null) infinity give rise to solutions which are global in the sense that they are future causally geodesically complete. In this talk, I will present a construction of a class of global solutions whose data are not required to decay towards infinity. As a consequence, there exist global solutions with arbitrarily large (and in fact infinite) bounded variation (BV) norms and initial Bondi masses. This construction is also extended so that data are posed at past null infinity and we obtain solutions with large BV norms which are causally geodesically complete both to the past and to the future. Finally, I will discuss applications of our method to construct global solutions for other nonlinear wave equations with infinite critical Sobolev norms. This is jointed work with Jonathan Luk and Sung
