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math.NA2022★ 1 cited
Finite difference schemes for the parabolic -Laplace equation
Félix del Teso, Erik Lindgren
We propose a new finite difference scheme for the degenerate parabolic equation \[ \partial_t u - \mbox{div}(|\nabla u|^{p-2}\nabla u) =f, \quad p\geq 2. \] Under the assumption th…
math.AP2022
Large time behavior for a nonlocal nonlinear gradient flow
Feng Li, Erik Lindgren
We study the large time behavior of the nonlinear and nonlocal equation where , and $$ (-Δ_p)^s v\, (x,t)=2 \,\te…