Existence-Uniqueness for nonlinear integro-differential equations with drift in ${\mathbb{R}}^d$

Anup Biswas, Saibal Khan

In this article we consider a class of nonlinear integro-differential equations of the form $$\inf_{τ\in\mathcal{T}} \bigg\{\int_{\mathbb{R}^d} (u(x+y)+u(x-y)-2u(x))\frac{k_τ(x,y)}…