报告人: Luc Molinet (法国图尔大学 教授)
报告时间: 2024年1月17日下午2:30
报告地点: 章辉楼442
联系人: 王保祥教授
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报告摘要: We revisit the local well-posedness for the KP-I equation on $\R^2$. Our aim is twofold: to simplify the proof and to get better uniqueness result. We prove unconditional LWP in $H^{s,0}$ for $s>3/4$. We also establish some global existence results for finite energy perturbations of global solutions as the line-soliton or the line-periodic solitary wave. This is a joined work with Zihua Guo (Monash University, Melbourne).
报告人简介: Professor Luc Molinet is an internationally renowned expert in the field of dispersion equations. His research interests include well-posedness theory, dispersive limits, stability and asymptotic stability of solitary waves, etc. He has published many important papers in well-known journals such as Amer. J. Math, Adv. Math., Anal. PDE, Math. Ann, ARMA, JMPA, JFA, CMP etc.
