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。