sIH1→L2 Sf(s) | L2(Ω) | L2(Ω) | 1/ψ*(x) | 0 | 0 | f | u̇ |
ε ∘ Sf(s) | L2(Ω) | 𝕃2(Ω) | 1/ψ*(x) | 0 | 0 | f | ε(u) |
C(s)(ε ∘ Sf(s)) | L2(Ω) | 𝕃2(Ω) | ϕ(x)/ψ*(x) | r | 0 | f | σ |
s IH1→L2 Sα(s) | H1/2(ΓD) | L2(Ω) | $\begin{array}{}
\displaystyle
\frac{\phi_\star(x)}{\psi_\star(x)\min\{1,\sqrt x\}}
\end{array}$ | 1 + r | $\begin{array}{}
\displaystyle
\frac{1}{2}
\end{array}$ | α | u̇ |
ε ∘ Sα(s) | H1/2(ΓD) | 𝕃2(Ω) | $\begin{array}{}
\displaystyle
\frac{\phi_\star(x)}{\psi_\star(x)\min\{1,\sqrt x\}}
\end{array}$ | 1 + r | $\begin{array}{}
\displaystyle
\frac{1}{2}
\end{array}$ | α | ε(u) |
C(s)(ε ∘ Sα(s)) | H1/2(ΓD) | 𝕃2(Ω) | $\begin{array}{}
\displaystyle
\frac{\phi(x)\phi_\star(x)}{\psi_\star(x)\min\{1,\sqrt x\}}
\end{array}$ | 1 + 2r | $\begin{array}{}
\displaystyle
\frac{1}{2}
\end{array}$ | α | σ |
s IH1→L2 Sβ(s) | H−1/2(ΓN) | L2(Ω) | $\begin{array}{}
\displaystyle
\frac1{\min\{1,x\}\psi_\star(x)}
\end{array}$ | 1 | 0 | β | u̇ |
ε ∘ Sβ(s) | H−1/2(ΓN) | 𝕃2(Ω) | $\begin{array}{}
\displaystyle
\frac1{\min\{1,x\}\psi_\star(x)}
\end{array}$ | 1 | 0 | β | ε(u) |
C(s)(ε ∘ Sβ(s)) | H−1/2(ΓN) | 𝕃2(Ω) | $\begin{array}{}
\displaystyle
\frac{\phi(x)}{\min\{1,x\}\psi_\star(x)}
\end{array}$ | 1 + r | 0 | β | σ |