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--- 分析与偏微分方程讨论班(2023秋季第8讲)
How to construct heat kernel on a metric measure space
曹军 (浙江工业大学)
时间:10月25日(周三)下午2:00-3:00
地点:#腾讯会议:267-266-709 点击链接入会,或添加至会议列表:
https://meeting.tencent.com/dm/iveIDRvNLi72
摘要: The heat kernel is a universal tool that plays a dominant role in mathematics and physics due to its simple and powerful properties. The construction of heat kernel is the starting point for conducting a detailed analysis of a general metric measure space. In this talk, we provide a new analytic mthod to construct heat kernel via wavelts on such setting. The obtained heat kernel enjoys many good properties including the stochastic completeness property, the two-sided stable-like estimate and the Hölder continuity estimate. This is a joint work with Profs. A. Grigor'yan, L. Liu et al.
报告人简介: 曹军,浙江工业大学应用数学系教授, 2014年7月博士毕业于北京师范大学best365网页版登录。2017-2019年受国家留学基金委支持赴德国比勒费尔德大学做博士后。主要从事调和分析及其应用方向研究,相关结果发表在《J. Lond. Math. Soc.》、《J. Math. Pures Appl.》、《Trans. Amer. Math. Soc.》、《J. Funct. Anal》、《J. Fourier Anal. Appl.》等国内外重要期刊。目前主持国家自然科学基金面上项目和浙江省杰出青年基金项目,主持完成国家自然科学基金青年基金1项。
邀请人: 张安
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