3 papers
math.PR2020
Non-uniformly parabolic equations and applications to the random conductance model
Peter Bella, Mathias Schäffner
We study local regularity properties of linear, non-uniformly parabolic finite-difference operators in divergence form related to the random conductance model on . In…
math.PR2019
Quenched invariance principle for random walks among random degenerate conductances
Peter Bella, Mathias Schäffner
We consider the random conductance model in a stationary and ergodic environment. Under suitable moment conditions on the conductances and their inverse, we prove a quenched invari…
math.AP2019
Local boundedness and Harnack inequality for solutions of linear non-uniformly elliptic equations
Peter Bella, Mathias Schäffner
We study local regularity properties for solutions of linear, non-uniformly elliptic equations. Assuming certain integrability conditions on the coefficient field, we prove local b…