3 problems

Let $N\in\mathbb{N}$, let $L$ be the integer determined by $N=2L$ or $N=2L+1$, and define … For a multi-index $\mathbf{i}_{k}=(i_1,i_2,\ldots,i_k)$, write…

Let $D\subset\mathbb{R}^3$ be an elastic inclusion, and let the Lamé parameters be … where $\chi_D$ is the characteristic function of $D$. The parameters $\epsilon_1\lambda_0$ and…

Let $0<\gamma<\gamma_*$. Consider sources $f\in L^2(\mathcal{M})$ with compact support or distributional sources such as dipoles, and let $E_{\delta}(\xi)$ and $V(x,y)$ denote the…