A Density Result for Homogeneous Sobolev Spaces on Planar Domains
Abstract
We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞(Ω) are dense in the homogeneous Sobolev spaces Lk,p(Ω).
Main Authors
Format
Articles
Research article
Published
2019
Series
Subjects
Publication in research information system
Publisher
Springer Netherlands
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201911144870Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0926-2601
DOI
https://doi.org/10.1007/s11118-018-9720-8
Language
English
Published in
Potential Analysis
Citation
- Nandi, D., Rajala, T., & Schultz, T. (2019). A Density Result for Homogeneous Sobolev Spaces on Planar Domains. Potential Analysis, 51(4), 483-498. https://doi.org/10.1007/s11118-018-9720-8
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Additional information about funding
All authors partially supported by the Academy of Finland.
Copyright© Springer Nature B.V. 2018