? 题 目:Higher order Poisson Kernels and Lp polyharmonic boundary value problems in Lipschitz domains
内容简介:In this talk, I introduce higher order Poisson kernels, which are higher order analogues of the classical Poisson kernels, as well as the polyharmonic fundamental solutions, and dene multi-layer potentials in terms of Poisson field and the polyharmonic fundamental solutions, in which the former formed by the higher order Poisson kernels. Then by the multi-layer potentials,three classes of Lp polyharmonic boundary value problems (i.e., Dirichlet,Neumann and regularity problems) in Lipschitz domains are solved, and the integral representation (or potential) solutions of these problem are given.
报告人:暨南大学数学系 杜志华 副教授
时 间:2015年12月12日(周六)上午11:00始
地 点:南海楼224室(数学系会议室)
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