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Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity

发布时间:2016-10-12发布部门:非线性科学研究所

主题:Regularity theory and global existence of small data solutions to semi-linear de Sitter models.....

主讲人:Michael Reissig

时间:2016-10-17 15:00:00

地点:松江校区2号学院楼331报告厅

组织单位:非线性科学研究所

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


视频: 摄影: 撰写:秦玉明 信息员:唐晓亮 编辑:孙庆华