Solutions of the wave equation bounded at the Big Bang

报告人：刘梦梁

时间：2022-06-06 9:30－11:30am

地点：广西数学研究中心W202

摘要：By solving a singular initial value problem, we prove the existence of solutions of the wave equation ­ gφ = 0 which are bounded at the Big Bang in the Friedmann–Lemaître–Robertson–Walker cosmological models. More precisely, we show that given any function A ∈ H3(Σ) (where Σ = Rn, Sn or Hn models the spatial hypersurfaces) there exists a unique solution φof the wave equation converging to A in H1(Σ) at the Big Bang, and whose time derivative is suitably controlled in L2(Σ)。