21 citations · 71 across the 20 of their papers we have counts for
21 papers · 1 filter
Trace theory for parabolic boundary value problems with rough boundary conditions
Robert Denk, Floris B. Roodenburg
We characterise the trace spaces arising from intersections of weighted, vector-valued Sobolev spaces, where the weights are powers of the distance to the boundary. These weighted…
-boundedness of Poisson operators
Robert Denk, Nick Lindemulder, Jörg Seiler
We investigate the -boundedness of parameter-dependent families of Poisson operators on the half-space in various scales of function spaces. Applications concern…
Boundary value problems with rough boundary data
Robert Denk, David Ploß, Sophia Rau +1
We consider linear boundary value problems for higher-order parameter-elliptic equations, where the boundary data do not belong to the classical trace spaces. We employ a class of…
Convex monotone semigroups and their generators with respect to -convergence
Jonas Blessing, Robert Denk, Michael Kupper +1
We study semigroups of convex monotone operators on spaces of continuous functions and their behaviour with respect to -convergence. In contrast to the linear theory, the domain…
Convex monotone semigroups on lattices of continuous functions
Robert Denk, Michael Kupper, Max Nendel
We consider convex monotone -semigroups on a Banach lattice, which is assumed to be a Riesz subspace of a -Dedekind complete Banach lattice. Typical examples include the sp…
Elliptic problems with rough boundary data in generalized Sobolev spaces
Anna Anop, Robert Denk, Aleksandr Murach
We investigate regular elliptic boundary-value problems in bounded domains and show the Fredholm property for the related operators in an extended scale formed by inner product Sob…