Square function estimates on layer potentials for higher‐order elliptic equations

@article{Barton2015SquareFE,
  title={Square function estimates on layer potentials for higher‐order elliptic equations},
  author={Ariel Barton and Steve Hofmann and Svitlana Mayboroda},
  journal={Mathematische Nachrichten},
  year={2015},
  volume={290}
}
In this paper we establish square‐function estimates on the double and single layer potentials for divergence form elliptic operators, of arbitrary even order 2m, with variable t‐independent coefficients in the upper half‐space. This generalizes known results for variable‐coefficient second‐order operators, and also for constant‐coefficient higher‐order operators. 
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14 Citations
Background Citations
4
Methods Citations
4
Results Citations
1

14 Citations

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