16 citations · 37 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
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 can be described in terms of quarklets.…
Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type
Stephan Dahlke, Cornelia Schneider
This paper is concerned with the regularity of solutions to linear and nonlinear evolution equations extending our findings in [22] to domains of polyhedral type. In particular, we…
Besov regularity of non-linear parabolic PDEs on non-convex polyhedral domains
Stephan Dahlke, Markus Hansen, Cornelia Schneider
This paper is concerned with the regularity of solutions to parabolic evolution equations. We consider semilinear problems on non-convex domains. Special attention is paid to the s…