Viscosity inequality at an interface for a 1D elliptic integro-differential equation (one-sided jumps)
Posted by Aguazz, at math.stackexchange.com,
Suppose $u\in C^0(\mathbb R)\cap L^\infty(\mathbb R)$. Fix $x_0\in\mathbb R$ and assume $u\in C^2((x_0-\delta,x_0))\cap C^2((x_0…