题 目：SMALL DATA BLOW-UP OF SEMI-LINEAR WAVE EQUATIONWITH SCATTERING DISSIPATION ANDTIME-DEPENDENT MASS

主讲人：屠子恒讲师

时 间：2022年4月14日（周四）13：30-14：30

地 点：6号学院楼500会议室

主办单位：59白菜专区论坛总站浙江省2011“数据科学与大数据分析协同创新中心”

摘要：

In the present paper, we study small data blow-up of the semi-linear wave equation with a scattering dissipation term and a time-dependentmass term from the aspect of wave-like behavior. The Strauss type criticalexponent is determined and blow-up results are obtained to both sub-criticaland critical cases with corresponding upper bound lifespan estimates. For thesub-critical case, our argument does not rely on the sign condition of dissipationand mass, which gives the extension of the result in. Moreover, we showthe blow-up result for the critical case which is a new result.

主讲人简介：

屠子恒，博士毕业于浙江大学数学系，2017-2018日本北海道大学数学系访问学者。专业研究方向：偏微分方程。近几年于JMAA,CVPDE,DIE等SCI杂志发表论文5篇。

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