Publications

C. Schneider, M. Ullrich, and J. Vybiral, “Non-local approximation and sampling with deep ReLU neural networks“, submitted.

Schneider C., Dahlke S., Hansen M.:
Weighted Sobolev and Besov regularity of non-linear parabolic PDEs on non-convex polyhedral domains
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik (2026)
ISSN: 0044-2267
BibTeX: Download
Schneider C., Morin P., Schneider N.:
Anisotropic approximation on space–time domains
In: Journal of Approximation Theory 317 (2026), Article No.: 106282
ISSN: 0021-9045
DOI: 10.1016/j.jat.2025.106282
BibTeX: Download
Schneider C., Ullrich M., Vybíral J.:
Nonlocal Techniques for the Analysis of Deep ReLU Neural Network Approximations
In: Journal of Machine Learning Research 27 (2026), Article No.: 11
ISSN: 1532-4435
BibTeX: Download

Schneider C., Hansen M., Scharf B.:
Relations between Kondratiev and refined localization Triebel-Lizorkin spaces
In: Journal of Approximation Theory (2025)
ISSN: 0021-9045
BibTeX: Download
Schneider C., Weimar M., Cioica-Licht P.:
Sobolev spaces with mixed weights and the Poisson equation on angular domains
In: Annali della Scuola Normale Superiore di Pisa-Classe di Scienze (2025)
ISSN: 0391-173X
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C. Schneider, ”Besov regularity of partial differential equations, and traces in function spaces”, Habilitation thesis, Philipps-University Marburg, 2020.
C. Schneider, ”Besov spaces with positive smoothness”, PhD Thesis, University of Leipzig, 2009.
C. Schneider, ”Growth envelopes in Sobolev spaces”, Diploma Thesis, Friedrich-Schiller-University Jena, 2006.

2026