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.AP2019
Derivation of a homogenized bending--torsion theory for rods with micro-heterogeneous prestrain
Robert Bauer, Stefan Neukamm, Mathias Schäffner
In this paper we investigate rods made of nonlinearly elastic, composite--materials that feature a micro-heterogeneous prestrain that oscillates (locally periodic) on a scale that…
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…