Session Time & Room : 3E (Aug.23, 17:40-19:20) @F311

Type : Contributed Talk

Abstract : In nonlocal models points separated by a non-vanishing distance interact with each other. Therefore, domains separated by a non-vanishing distance can be coupled in these models. In this talk, we consider the nonlocal diffusion operator $\mathcal{L}u(x):=\int_{\mathbb{R}^{d}}u(x)-u(y)\gamma(y,x))\,\mathrm{d}y$ and the nonlocal Neumann operator $\mathcal{N} u(y):=\int_{\Omega}(u(y)-u(x))\gamma(x,y)\,\mathrm{d}x$. With these operators we introduce a coupled Neumann problem and we, moreover, consider parabolic nonlocal Neumann equations.