主讲人简介：Michael Reissig，德国弗莱贝格工业大学教授，博士生导师，多个国际期刊的编委。
内容摘要：Inthe talk we study the Cauchy problem for semi-linear de Sitter models withpower non-linearity. The model of interest is\[ \phi_{tt} - e^{-2t} \Delta \phi +n\phi_t+m^2\phi=|\phi|^p,\quad (\phi(0,x),\phi_t(0,x))=(f(x),g(x)),\]where $m^2$ is a non-negative constant. We studythe global (in time) existence of small data solutions. In particular,we show the interplay between the power $p$,admissible data spaces and admissible spaces of solutions (in weak sense, insense of energy solutions or in classical sense).
讲座主持：秦玉明
讲座语言：英文
