Existence and uniqueness of weak solutions to a parabolic nonlocal 1-Laplacian equation

Dingding Li, Chao Zhang

We consider a class of parabolic nonlocal $1$-Laplacian equation \begin{align*} u_t+(-Δ)^s_1u=f \quad \text{ in }Ω\times(0,T]. \end{align*} By employing the Rothe time-discretizati…