差分
このページの2つのバージョン間の差分を表示します。
| 両方とも前のリビジョン 前のリビジョン | 次のリビジョン両方とも次のリビジョン | ||
| seminar:2014:018 [2017/11/13 17:29] – wikiadm | seminar:2014:018 [2017/11/13 17:33] – wikiadm | ||
|---|---|---|---|
| 行 7: | 行 7: | ||
| - | Let \(\Omega\) be a bound domain in Rn with smooth boundary. | + | Let \(\Omega\) be a bound domain in \(\mathbb{R}^n\) |
| Consider the following elliptic boundary valued problem: | Consider the following elliptic boundary valued problem: | ||
| - | \[ | + | |
| - | \begin{split} | + | \[\begin{equation} |
| - | | + | \begin{cases} |
| - | Xu &= g\quad \text{on the boundary} | + | \Delta u = f \quad \text{in \(\Omega\)}\\ |
| - | \end{split} | + | Xu = g\quad \text{on the boundary} |
| + | \end{cases} | ||
| + | \end{equation} | ||
| \] | \] | ||
| Here \(X\) is a transversal vector field to the boundary. | Here \(X\) is a transversal vector field to the boundary. | ||