# 東京理科大学理工学部 数学科

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)