报告题目(5.4):吴元泽: The fundamental solution of the fractional Laplacian operator in the fractional Sobolev spaces
报告人: 吴元泽教授 (中国矿业大学)
报告时间:2024年5月4日16:00-17:00
报告地点:维格堂319教室
报告摘要: In this talk, we prove first that the equivalence between the definitions of the fractional
Laplacian operator via the Cauchy principal value of singular integrals and via the Fourier transform on
Schwartz space of rapidly decreasing smooth functions, and then establish the existence of the
fundamental solution for the fractional Laplacian operator in the fractional Sobolev spaces via the boundary
values of an elliptic equation in the one higher dimension.
邀请人:周育英