2 papers
math.AP2024
Existence and uniqueness of weak solutions to a parabolic nonlocal 1-Laplacian equation
Dingding Li, Chao Zhang
We consider a class of parabolic nonlocal -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…
math.AP2023
On the solutions of nonlocal 1-Laplacian equation with -data
Dingding Li, Chao Zhang
We study the solutions to a nonlocal 1-Laplacian equation given by $$ 2\text{P.V.}\int_{\mathbb{R}^N}\frac{u(x)-u(y)}{|u(x)-u(y)|} \frac{dy}{|x-y|^{N+s}}=f(x) \quad \textmd{for } x…