學術動態
報告承辦單位:數學與統計學院
報告內容: In this talk, we investigate the maximal
-regularity in Lions' problem involving a time-fractional derivative and a non-autonomous form on a Hilbert space. This problem concerns whether the maximal-regularity holds when
)is merely continuous or even merely measurable. We construct a new representation formula for the solutions to obtain the maximal-regularity results, based on a more general Dini-type continuity condition acting on the coefficients. In particular, a counterexample shows the optimality of our condition, indicating the minimal H
lder-scale regularity required for positive results.
報告人姓名:何家維
報告人所在單位:廣西大學
報告人職稱/職務及學術頭銜:副教授
報告時間: 2025年7月19日下午3:30-4:30
報告地點:云塘校區理科樓A-419
報告人簡介:何家維，副教授，碩士生導師，現任職于廣西大學數學與信息科學學院，主要從事微分方程與動力系統理論及其相關研究，先后在Proc.Roy.Soc.Edinburgh Sect.A、J.Comput.Appl.Math.、Fract.Calc.Appl.Anal.、Adv.Nonlinear Anal.、Bull.Sci.Math.等國內外權威期刊上發表學術論文多篇，主持國家自然科學基金項目1項，參與國家自然科學基金項目4項、廣西科技廳項目3項。