报告题目：   Global existence of solutions of loglog supercritical Klein-Gordon equations

报告人：      Tristan Roy（黎巴嫩贝鲁特美国大学副教授）

报告时间：   2021年12 月 10日 15：00 -16：00

腾讯会议号： 885 107 088

邀请人：       程 星

报告摘要：We prove the global existence of solutions of loglog supercritical Klein-Gordon equations with data of which the regularity is higher than that of the energy. The proof is by contradiction. Assuming that blow-up occurs at a maximal time of existence, then it is known that a Strichartz-type norm must blow-up on a small interval around the maximal time of existence; but then an analysis close to this time using in particular arguments in papers dealing with critical and slightly supercritical nonlinearities shows that this norm is finite, which contradicts the blow-up assumption。

报告人简介：Tristan Roy，黎巴嫩贝鲁特美国大学副教授，主要从事非线性色散方程的研究。至今为止，Tristan Roy已经完成20多篇学术论文，发表在包括 Int. Math. Res. Not. IMRN，J. Funct. Anal.，Anal. PDE等在内的国际知名期刊，论文的引用次数超过120次。