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:yh86银河国际浙江省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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