31 citations · 127 across the 24 of their papers we have counts for
4 papers · 1 filter
The Dirichlet problem for second order parabolic operators in divergence form
Pascal Auscher, Moritz Egert, Kaj Nyström
We study parabolic operators H = t -- div ,x A(x, t) ,x in the parabolic upper half space R n+2 + = {(, x, t) : > 0}. We assume that the coefficients…
Characterizations of Sobolev Functions that vanish on a part of the boundary
Moritz Egert, Patrick Tolksdorf
Let be a bounded domain in R n with a Sobolev extension property around the complement of a closed part D of its boundary. We prove that a function u W 1,p () vanishes…
well-posedness of boundary value problems for parabolic systems with measurable coefficients
Pascal Auscher, Moritz Egert, Kaj Nyström
We prove the first positive results concerning boundary value problems in the upper half-space of second order parabolic systems only assuming measurability and some transversal re…
On non-autonomous maximal regularity for elliptic operators in divergence form
Pascal Auscher, Moritz Egert
We consider the Cauchy problem for non-autonomous forms inducing elliptic operators in divergence form with Dirichlet, Neumann, or mixed boundary conditions on an open subset $…