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math.AP2019
Stochastic homogenization of -convex gradient flows
Martin Heida, Stefan Neukamm, Mario Varga
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionary gradient systems driven by a quadratic dissipation potential and a -convex…
math.AP2019
The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps
Franziska Flegel, Martin Heida
We study a general class of discrete -Laplace operators in the random conductance model with long-range jumps and ergodic weights. Using a variational formulation of the problem…