Local compactness conjecture for nonlocal gradients
Let {uδ}δ∈(0,1)\{u_\delta\}_{\delta\in(0,1)}{uδ}δ∈(0,1) be a sequence with uδ∈Swδν(Rd)u_\delta\in \mathcal{S}^{\bm\nu}_{w_\delta}(\mathbb{R}^d)uδ∈Swδν(Rd), where the kernels wδw_\deltawδ satisfy the kernel assumptions in t…