主题: Weighted L^2-L^2 estimate for wave equation and its application主讲人: 赖宁安地点: 松江校区2号学院楼331理学院报告厅时间: 2018-06-20 15:30:00组织单位: 非线性科学研究所
主讲人简介：赖宁安，丽水学院数学系教授，丽水学院非线性分析研究所所长，浙江省中青年学科带头人，入选浙江省“151人才工程”第三层次培养人员。研究领域：偏微分方程，主要研究非线性波动方程的长时间行为。发表学术论文十余篇。
内容摘要：In this work we establish a weighted $L^2-L^2$ estimate for inhomogeneous wave equation in 3-D, by introducing a Morawetz multiplier with weight of power$s(1<s\leq 2)$, and then integrating on the light cones and $t$ slice. With this weighted energy estimate in hand, we may give a new proof of global existence for small data Cauchy problem of semilinear wave equation with supercritical power in 3-D. What is more, by combining the Huygens’ Principlefor wave equations in 3-D, the global existence for semilinear wave equation with scale invariant damping in 3-D is established.
讲座主持：秦玉明 教授