3 problems

Let $\Lambda_1$ and $\Lambda_2$ be the trace spaces associated with the two subdomains $\Omega_1$ and $\Omega_2$, and let $\Lambda$ be the common interface trace space defined in t…

The space $\mathrm{tr}^{2,\Delta}(H(\Delta,\Omega))$ is considered as a subspace of $H^2(\mathcal{T})'$. In dimension two, an example shows the relevant non-closedness phenomenon;…

Let $0<p<1$, $0<p<q<\infty$, let $\bm{h}=(h_j)$ and $\bm{\sigma}=(\sigma_j)$ be the sequences occurring in the trace-space equivalence, and let $v_p$ be given by $1/v_p=1/p-1/q$. T…