题目：Morawetz estimate for linearized gravity in the Schwarzschild spacetime

主讲人：王金花

时间：2018年7月2日（周一），下午：15:00

地点：A4-218

报告摘要：The equations governing the perturbations of the Schwarzschild metric satisfy the Regge-Wheeler-Zerilli-Moncrief system. Applying the technique introduced Blue and Andersson, we prove an integrated local energy decay estimate for both the Regge-Wheeler and Zerilli equations. In these proofs, we use some constants that are computed numerically. Furthermore, we make use of the $r^p$ hierarchy estimates to prove that both the Regge-Wheeler and Zerilli variables decay as $t^{-\frac{3}{2}}$ in fixed regions of $r$. This is joint work with Lars Andersson and Peter Blue.

报告人简介：王金花，女，厦门大学数学科学学院助理教授。浙江大学博士，马克思普朗克研究所—爱因斯坦研究所博士后（获德国洪堡基金资助）。研究方向为非线性双曲方程，微分几何。主要研究兴趣为波方程，爱因斯坦方程。在Journal of the European Mathematical Society、Journal of Hyperbolic Differential Equations等期刊发表论文5篇，主持国家自然科学基金青年项目。

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