R. Denk

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math.AP2025

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…

math.AP2025

$R$ -boundedness of Poisson operators

Robert Denk, Nick Lindemulder, JÃ¶rg Seiler

We investigate the $R$ -boundedness of parameter-dependent families of Poisson operators on the half-space $R_{+}^{n}$ in various scales of function spaces. Applications concern…

math.AP2024

Convex monotone semigroups and their generators with respect to $I^$ -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 $I^$ -convergence. In contrast to the linear theory, the domai…

Trace theory for parabolic boundary value problems with rough boundary conditions

R-boundedness of Poisson operators

Convex monotone semigroups and their generators with respect to I^-convergence

$R$ -boundedness of Poisson operators

Convex monotone semigroups and their generators with respect to $I^$ -convergence