31 citations · 127 across the 24 of their papers we have counts for
5 papers · 1 filter
Lp-estimates for the square root of elliptic systems with mixed boundary conditions
Moritz Egert
This article focuses on Lp-estimates for the square root of elliptic systems of second order in divergence form on a bounded domain. We treat complex bounded measurable coefficient…
Non-local self-improving properties: A functional analytic approach
Pascal Auscher, Simon Bortz, Moritz Egert +1
A functional analytic approach to obtaining self-improving properties of solutions to linear non-local elliptic equations is presented. It yields conceptually simple and very short…
Non-local Gehring lemmas in spaces of homogeneous type and applications
Pascal Auscher, Simon Bortz, Moritz Egert +1
We prove a self-improving property for reverse H{ö}lder inequalities with non-local right hand side. We attempt to cover all the most important situations that one encounters when…
On regularity of weak solutions to linear parabolic systems with measurable coefficients
Pascal Auscher, Simon Bortz, Moritz Egert +1
We establish a new regularity property for weak solutions of parabolic systems with coefficients depending measurably on time as well as on all spatial variables. Namely, weak solu…
On uniqueness results for Dirichlet problems of elliptic systems without DeGiorgi-Nash-Moser regularity
Pascal Auscher, Moritz Egert
We study uniqueness of Dirichlet problems of second order divergence-form elliptic systems with transversally independent coefficients on the upper half-space in absence of regular…