6 papers
Higher-order regularity for a structurally damped plate equation on rough domains
Robert Denk, Floris Roodenburg
We prove well-posedness and higher-order regularity for a linear structurally damped plate equation with inhomogeneous Dirichlet--Neumann boundary conditions on the half-space and…
Traces of Sobolev functions and higher integrability
Robert Denk, Franz Gmeineder, Paul Stephan
We give a sharp characterization of how additional integrability in the interior improves the integrability of boundary traces of -Sobolev functions. The optimali…
Stability analysis for a plate-membrane system without geometric condition
Bienvenido Barraza Martínez, Robert Denk, Jonathan González Ospino +1
In this work, we consider a transmission problem describing a thermoelastic plate surrounding a membrane without any mechanical damping. The main results consist of the lack of exp…
On the Singular Limit in Hibler's Sea Ice Model
Robert Denk, Franz Gmeineder, Matthias Hieber
We establish the existence of energy-driven solutions to the momentum balance equation in Hibler's sea ice model. As a main novelty and different from previous results, we deal wit…
On elliptic operator pencils with general boundary conditions
R. Denk, R. Mennicken, L. Volevich
In this paper operator pencils are investigated which depend polynomially on the parameter and act on a manifold with boundary. The operator A is assumed to satisfy…
Boundary value problems for a class of elliptic operator pencils
R. Denk, R. Mennicken, L. Volevich
In this paper operator pencils are studied which act on a manifold with boundary and satisfy the condition of -ellipticity with parameter, a generalization of the not…