报告主题:高阶椭圆算子的色散估计
报告人:尧小华 教授 (华中师范大学)
报告时间:2018年11月1日(周四)10:00
报告地点:校本部G507
邀请人:赵发友
主办部门:太阳成集团tyc33455数学系
报告摘要:In this talk, I will mainly address dispersive estimates of the fourth-order Schrodinger operator H = (−?)^2 + V (x) under suitable spectrum assumptions. We ?rst begin with the Jensen-Kato decay estimate and local decay estimate, and then establish the endpoint global Strichartz estimates of exp{itH}. These estimates can be similarly established for other higher order cases H = (−?)^m +V (x) with m ≥ 3. Finally, some applications of these estimates will be mentioned. This is a joint-work with Hongliang Feng and Avy So?er.
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