4 papers
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems
Lars Diening, Rob Stevenson, Johannes Storn
We present a space-time finite element method for the heat equation that computes quasi-optimal approximations with respect to natural norms while incorporating local mesh refineme…
Examples of -harmonic maps
Anna Balci, Linus Behn, Lars Diening +1
We construct explicit examples of -harmonic maps . These are more irregular than the previously known examples and thus provide new upper bounds…
Gradient estimates for parabolic nonlinear nonlocal equations
Lars Diening, Kyeongbae Kim, Ho-Sik Lee +1
The primary objective of this work is to establish pointwise gradient estimates for solutions to a class of parabolic nonlinear nonlocal measure data problems, expressed in terms o…
Nonlocal equations with degenerate weights
Linus Behn, Lars Diening, Jihoon Ok +1
We introduce fractional weighted Sobolev spaces with degenerate weights. For these spaces we provide embeddings and Poincaré inequalities. When the order of fractional differentiab…