Sharp two-sided heat kernel estimates for Schr\"{o}dinger operators with decaying potentials
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:王健(福建师范大学)
:2024-08-24 10:00
:海韵园行政楼C503 & 腾讯会议652-132-498(无密码)
报告人:王健(福建师范大学)
时 间:2024年8月24日10:00
地 点:海韵园行政楼C503 & 腾讯会议652-132-498(无密码)
内容摘要:
We establish global two-sided heat kernel estimates (for full time and space) of the Schr\"odinger operator $-\frac{1}{2}\Delta+V$ on $\R^d$, where the potential $V(x)$ is locally bounded and behaves like $c|x|^{-\alpha}$ near infinity with $\alpha\in (0,2)$ and $c> 0$, or with $\alpha>0$ and $c<0$.
Our results improve all known results in the literature, and it seems that this is the first time that consistent two-sided heat kernel bounds for the long range potentials are established.
个人简介:
王健,福建师范大学教授。2008年博士毕业于北京师范大学,2009获得德国洪堡基金,2014年获得日本学术振兴基金,2015年获得国家自然科学基金优秀青年基金,2022年获得国家自然科学基金杰出青年基金。已在 Memoirs Amer. Math. Soc., Prboba. Theory Related Fields, Ann. Probab., Ann. Appl. Probab., Adv. Math.等知名杂志发表多篇学术论文,出版专著一部。
联系人:陈娴