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【学术报道】美国华盛顿大学陈振庆教授来yabo登录讲学

yabo登录YINGNANJINGSHIFANDAXUESHUXUEKEXUEXUEYUANYAOQINGMEIGUOHUASHENGDUNDAXUEJIAOSHOU,CHENZHENQINGJIAOSHOUYU2019NIAN12YUE30RIXIAWULAIyaboDENGLUSHUKEYUANJINXINGXUESHUJIAOLIUBINGZAIXINGJIANLOU665HUIYISHIZUOTIMUWEI“Time fractional Poisson equations and probabilistic representation”DEXUESHUBAOGAO,SHUXUEXUEYUANGAOHONGJUNJIAOSHOUZHUCHILEBENCIBAOGAOHUI,SHUKEYUANBUFENJIAOSHI、YINGYONGSHUXUEBUFENSHUOSHI、BOSHICANJIALEBENCIBAOGAOHUI。

CHENZHENQINGJIAOSHOU,SHIGUOJIDINGJIQIKAN《The Annals of Probability》DEFUZHUBIAN,GUOJIDINGJIQIKAN《Potential Analysis》HE《Proceedings of the American Mathematical Society》DEZHUBIAN,《ZHONGGUOKEXUE》DENGZHONGDUOQIKANDEBIANWEI。 CHENZHENQINGJIAOSHOU,1992NIANZAIMEIGUOHUASHENGDUNDAXUE(SHENGLUYISI)HUOBOSHIXUEWEI,CENGZAIMEIGUODEJIALIFUNIYADAXUE(SHENGDIYAGE)HEKANGNAIERDAXUEGONGZUO;1998NIANQIZAIWEIYUHUASHENGDUNZHOUXIYATUSHIDEHUASHENGDUNDAXUESHUXUEXIGONGZUOZHIJIN。ZHUYAOCONGSHIGAILVLUNJISUIJIGUOCHENGDEYANJIU,ZHUYAOYANJIUFANGXIANGSHI: SUIJIFENXI,SUIJIWEIFENFANGCHENG,MASHIGUOCHENGJIQIWEISHILILUN,DISHIXING,FABIAOLUNWEN150YUPIAN。

陈教授首先介绍了生成子的概念,引入了要研究的时间分数Poisson equation的形式。进一步的介绍了分数阶导数的概念以及方程所以的物理背景、Subordinate Markov Process、stable subordinator。然后,陈教授就“方程有什么意义的解”、“外力项大于等于0,方程是否有大于等于的解”、“方程对于更一般的空间算子和分数阶时间导数会出现什么情况”。接下来在给定subordinator和强连续半群yabo登录框架下给出了解的概率表示,最后给出三个问题的回答。

BAOGAODEZUIHOU,ZAIZUODEXUESHENGHELAOSHIJIUBAOGAODENEIRONGTICHULEZIJIDEWENTI,CHENJIAOSHOUJICHULEXIANGXIDEJIEDA。BAOGAOHUIZAILAOSHIHETONGXUERELIEDEZHANGSHENGZHONGHUASHANGLEYUANMANDEJUHAO。

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    yabo登录2020NIAN01YUE15RI 13:21

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