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【70周年校庆】窦井波教授学术报告

发布时间:2021-07-02 阅读量:

报告专家:窦井波教授(陕西师范大学)

报告题目:Sharp weighted Sobolev inequality involving divergent operator with degeneracy and related sharp inequalities

报告地点:J9-425

报告时间:2021年7月2日 15:00-16:00

报告简介:

In this talk we present the classification of all positive extremal functions to a sharp weighted Sobolev inequality on the upper half space, which involves divergent operators with degeneracy on the boundary. We show that such a weighted Sobolev inequality can be used to derive a sharp Sobolev type inequality involving Baouendi-Grushin operator, and deduce others weighted inequalities. This work joins with Liming Sun, Lei Wang and Meijun Zhu.

专家个人简介:

窦井波,陕西师范大学数学与统计学院教授,博士生导师。毕业于西北工业大学应用数学系获博士学位。2017年7月被聘为陕西师范大学“曲江学者”特聘教授。研究方向是偏微分方程理论及其应用。近年来与多位合作者共同在Advances in Mathematic,Journal of Functional Analysis,International Mathematics Research Notices等国际学术期刊上发表学术论文40余篇,;主持国家自然科学基金3项,获2019 年度陕西省杰出青年科学基金资助项目。