Stephan Dahlke

activity

20162023

collaborators

4 papers

math.NA2023

Adaptive Quarklet Tree Approximation

Stephan Dahlke, Marc Hovemann, Thorsten Raasch +1

This paper is concerned with near-optimal approximation of a given function $f \in L_{2} ([0, 1])$ with elements of a polynomially enriched wavelet frame, a so-called quarklet frame. I…

math.AP2021

Anisotropic Besov regularity of parabolic PDEs

Stephan Dahlke, Cornelia Schneider

This paper is concerned with the regularity of solutions to parabolic evolution equations. Special attention is paid to the smoothness in the specific anisotropic scale $\ B^{r\mat…

math.FA2021

Quarklet Characterizations for Triebel-Lizorkin Spaces

Marc Hovemann, Stephan Dahlke

In this paper we prove that under some conditions on the parameters the one-dimensional Triebel-Lizorkin spaces $F_{r, q}^{s} (R)$ can be described in terms of quarklets.…

math.AP2016

Besov Regularity for the Stationary Navier-Stokes Equation on Bounded Lipschitz Domains

Frank Eckhardt, Petru A. Cioica-Licht, Stephan Dahlke

We use the scale $B_{τ}^{s} (L_{τ} (Ω))$ , $1/ τ = s / d + 1/2$ , $s > 0$ , to study the regularity of the stationary Stokes equation on bounded Lipschitz domains $Ω \subset R^{d}$ , $d \geq 3$ , wi…