理学院:Well-posedness of supercritical wave equation on a compact Riemannian manifold with Dirichlet boundary condition

来源:理学院发布时间:2016-04-27

题目:Well-posedness of supercritical wave equation on a compact Riemannian manifold with Dirichlet boundary condition

报告人:钟思佳 副教授

时间:428日(星期四)上午10:00-11:00

地点:江宁校区理学院(励学楼) B219

报告人简介:

钟思佳,东南大学数学系副教授,长期从事色散与波动型偏微分方程的研究工作。发表SCI论文10余篇,其中在国际著名杂志Journal of Differential equations发表两篇学术论文,论文引用接近20次。

报告内容摘要:

In this talk, we will study the global well-posedness of wave equation 3< p< 5 on a compact Riemannian manifold with Dirichlet boundary condition with some special kind of randomized initial data. We will show that this equation will be well-posed in for 1-<s<1, and get some polynomial growth of the Sobolev norm of the solution.