15 citations · 40 across the 7 of their papers we have counts for
4 papers · 1 filter
Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation
Maximilian Engel, Felix Hummel, Christian Kuehn +3
We study a singularly perturbed fast-slow system of two partial differential equations (PDEs) of reaction-diffusion type on a bounded domain via Galerkin discretisation. We assume…
Boundary Value Problems of Elliptic and Parabolic Type with Boundary Data of Negative Regularity
Felix Hummel
We study elliptic and parabolic boundary value problems in spaces of mixed scales with mixed smoothness on the half space. The aim is to solve boundary value problems with boundary…
Elliptic and Parabolic Boundary Value Problems in Weighted Function Spaces
Felix Hummel, Nick Lindemulder
In this paper we study elliptic and parabolic boundary value problems with inhomogeneous boundary conditions in weighted function spaces of Sobolev, Bessel potential, Besov and Tri…
Dispersive mixed-order systems in -Sobolev spaces and application to the thermoelastic plate equation
Robert Denk, Felix Hummel
We study dispersive mixed-order systems of pseudodifferential operators in the setting of -Sobolev spaces. Under the weak condition of quasi-hyperbolicity, these operators gen…