The Dirichlet problem for some nonlocal diffusion equations

Emmanuel Chasseigne

We study the Dirichlet problem for the non-local diffusion equation $u_t=\int\{u(x+z,t)-u(x,t)\}\dmu(z)$, where $\mu$ is a $L^1$ function and $‘‘u=\varphi$ on $\partial \Omega \times (0,\infty )$''…