报告题目：Pointwise convergence and nonlinear smoothing of the generalized Zakharov-Kuznetsov equation

主  讲 人：闫威 教授

单       位：河南师范大学

时       间：5月26日 11:00

地       点：学院南阶教室

摘       要：This talk is devoted to studying the pointwise convergence problem and nonlinear smoothing of the generalized Zakharov-Kuznetsov equation. Firstly, we present an alternative proof of Theorem 1.5 of Linares and Ramos (SIAM J. Math. Anal. 53(2021), 914-936.) and Theorem 1.8 of Linares and Ramos (Commu. Partial Diff. Eqns. 46(2021), 1601-1627.). Secondly, we give an alternative proof of Theorem 1.1 of Ribaud and Vento (C. R. Acad. Sci. Paris, Ser.I) and present the nonlinear smoothing and uniform convergence of two-dimensional generalized Zakharov-Kuznetsov equation. Thirdly, we give an alternative proof of Theorem 1.4 of Linares and Ramos (SIAM J. Math. Anal. 53(2021), 914-936.). Finally, we study the nonlinear smoothing and uniform convergence of $n$-dimensional generalized Zakharov-Kuznetsov equation with $n\geq3$.

简      介：闫威，博士，河南师范大学教授，博士生导师，河南省骨干教师，主要从事调和分析及其应用和初值随机化等方面的研究，曾先后主持国家自然科学基金项目三项和国家留学基金委项目等，曾先后在Annales de l'Institut Henri Poincaré C Analyse nonlinéaire, Forum Mathematicum, Indiana University Mathematics Journal，Journal of Differential Equations ， Proceedings of the American Mathematical Society，Science China Mathemtics等发表文章。