A Density Result for Homogeneous Sobolev Spaces on Planar Domains
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
Published inPotential Analysis
© Springer Nature B.V. 2018
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).
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Additional information about fundingAll authors partially supported by the Academy of Finland.
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