报告题目:An Anisotropic Inequality and Generalized Kadomtsev-Petviashvili Equations
主 讲 人:陈建清
单 位:福建师范大学
时 间:12月6日14:00
腾 讯 ID:786-149-060
摘 要:
In this talk, we firstly recall a result of Weinstein [ CMP 87 (1983), P.567]. Secondly we give a variational characterization on the best constant of a class of anisotropic Sobolev inequality in two and three dimensional case, respectively. Thirdly, we use these two results to give some local solutions to the Cauchy problems of generalized Kadomtsev-Petviashvili equations. Some extensions to higher dimensions are also covered.
简 介:
陈建清,福建师范大学教授,从事非线性泛函分析及其应用研究,在运用变分方法解决椭圆方程解的存在性、多重性及相关性质;解决非线性发展方程的波的稳定性方面做了一些工作,发表论文70多篇,主持多项国家自然科学基金项目和福建省自然科学基金项目,2012年5月被聘为福建省闽江学者特聘教授,2018年入选福建省特殊支持“双百计划”百千万工程领军人才。