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学科内

seminar:2014:018

第18回

  • 講演者 : Der-Chen Chang 氏(Georgetown 大学)
    • 題目:Estimates for elliptic boundary valued problem in Hardy spaces
    • 日時:平成27 年3 月9 日(月)16:30 – 17:30

Let \(\Omega\) be a bound domain in \(\mathbb{R}^n\) with smooth boundary. Consider the following elliptic boundary valued problem:

\[ \begin{cases} \Delta u = f \quad \text{in}\; \Omega\\ Xu = g\quad \text{on the boundary}\\ \end{cases} \] Here \(X\) is a transversal vector field to the boundary. This includes the regular Dirichlet and Neumann problem. In this talk, we first introduce suitable Hardy spaces \(H_p(\Omega)\) on \(\Omega\). Then we shall show the inequality \[ \text{norm of second partial differential of $f$} \leq \text{const * norm of $f$} \]

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seminar/2014/018.txt · 最終更新: 2017/11/16 18:25 (外部編集)