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 ofsolutions of the wave equationgφ=0which are bounded at the Big Bangin the Friedmann–Lemaître–Robertson–Walker cosmological models. Moreprecisely, we show that given any functionA∈H3(Σ)(whereΣ =Rn,SnorHnmodels the spatial hypersurfaces) there exists a unique solutionφof thewave equation converging toAinH1(Σ)at the Big Bang, and whose timederivative is suitably controlled inL2(Σ)。