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math.AP2021
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…
math.AP2021
Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values
Cornelia Schneider, Flóra Orsolya Szemenyei
We study the regularity of solutions of the Poisson equation with Dirichlet, Neumann and mixed boundary values in polyhedral cones in the specific scale $\…
math.AP2018
Besov regularity of parabolic and hyperbolic PDEs
Stephan Dahlke, Cornelia Schneider
This paper is concerned with the regularity of solutions to linear and nonlinear evolution equations on nonsmooth domains. In particular, we study the smoothness in the specific sc…