3 problems

Let $M$ be a compact oriented smooth manifold with smooth boundary $\partial M$, let $E_0$ and $E_1$ be smooth complex Hermitian vector bundles over $M$, and let…

Let $S_t$ and $D_t$ be the single- and double-layer potential operators associated with the fundamental solution of the elliptic equation in the supplied setting, and let…

Let $H_{\Omega}=H_{\Omega,\Delta^2}$ be the singular Green's function for the biharmonic operator $\Delta^2$ in a reasonable two-dimensional domain $\Omega$ under Dirichlet boundar…