中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: Huyuan Chen，Fudan University and SIMIS
Inviter: Quoc-Hung Nguyen
Language: English
Title: On the fractional+Logarithmic Laplacian
Time & Venue：2026年9月4日（星期五）14:00-15:00 Meeting ID: 373 227 3489 Passcode: PDE2026
Abstract: In this presentation, we show the properties of the fractional+logarithmic Laplacian operator, a singular integral operator characterized by the symbol |·|²ˢ log|·|. We establish that this operator admits an integral representation. This operator emerges as the formal derivative of fractional Laplacians. We show the Dirichlet eigenvalues for the logarithmic Laplacian on bounded domains.