應(yīng)yl7703永利官網(wǎng)耿俊教授和楊四輩教授邀請,西北工業(yè)大學(xué)李文娟副教授將于將于近期訪問我校,期間將舉辦專題學(xué)術(shù)報告。
報告題目:Convergence properties for a class of generalized Schroedinger Operators
時 間:2021年1月2日(星期六)上午10:00-11:00;
地 點:理工樓 631
報告摘要:In this talk, I will give some convergence results about a class of generalized Schroedinger operators. Firstly we consider the pointwise convergence for a class of generalized Schroedinger operators with suitable perturbations, and convergence rate for a class of generalized Schroedinger operators with polynomial growth. As applications, we obtain the sharp convergence result for Boussinesq operator and Beam operator in R^2. Secondly, we establish non-tangential convergence results for Schroedinger operators along restricted curves. We consider the relationship between the dimension of this kind of approach region and the regularity for the initial data which implies convergence. Finally, we also consider pointwise convergence of sequences of Schroedinger means and nonelliptic Schroedinger means. In fact, convergence of sequences of Schroedinger means is based on investigating properties of Schroedinger type maximal functions related to hypersurfaces with vanishing Gaussian curvature.
歡迎廣大師生參加!
李文娟副教授簡介
李文娟,西北工業(yè)大學(xué)yl7703永利官網(wǎng)副教授。2018年入選陜西省高層次人才項目,2019年入選西北工業(yè)大學(xué)“翱翔新星計劃項目”。2015年6月博士畢業(yè)于德國基爾大學(xué),師從世界著名調(diào)和分析專家Detlef Mueller教授(1998年世界數(shù)學(xué)家大會45分鐘報告者)。目前主持陜西省高層次人才計劃項目、西北工業(yè)大學(xué)翱翔新星計劃項目、中國博士后科學(xué)基金等項目。主要從事調(diào)和分析中算子有界估計等領(lǐng)域的研究,如多線性算子及其相關(guān)的極大算子和交換子、Fourier乘子算子、與超曲面相關(guān)的極大算子的有界估計等。已在J. Math. Pure.Appl.,J. Math. Anal. Appl.等國際知名數(shù)學(xué)期刊上發(fā)表SCI論文近二十篇。曾多次應(yīng)邀訪問美國伊利諾伊大學(xué)香檳分校、印第安納大學(xué)伯明頓分校、德國基爾大學(xué)等。
甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級重點實驗室
yl7703永利官網(wǎng)
萃英學(xué)院
2020年12月31日