題 目:SMALL DATA BLOW-UP OF SEMI-LINEAR WAVE EQUATIONWITH SCATTERING DISSIPATION ANDTIME-DEPENDENT MASS
主講人:屠子恒講師
時 間:2022年4月14日(周四)13:30-14:30
地 點:6號學院樓500會議室
主辦單位:新葡萄8883官網AMG浙江省2011“數據科學與大數據分析協同創新中心”
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.
主講人簡介:
屠子恒,博士畢業于浙江大學數學系,2017-2018日本北海道大學數學系訪問學者。專業研究方向:偏微分方程。近幾年于JMAA,CVPDE,DIE等SCI雜志發表論文5篇。
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