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The Single Multi-Layer Potential Operator

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2063)

Abstract

The general goal in this chapter is to define and study the main properties of the single multi-layer potential operator associated with arbitrary elliptic, higher-order, homogeneous, constant (complex) matrix-valued coefficients differential operators.

Keywords

  • Carleson Measure Estimate
  • Triebel Lizorkin Scales
  • Conormal Derivative
  • Green Representation Formula
  • Global Regularity Result

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. M. Mitrea, M. Taylor, Sobolev and Besov space estimates for solutions to second-order PDE on Lipschitz domains in manifolds with Dini or Hölder continuous metric tensors. Comm. Partial Differ. Equat. 30, 1–37 (2005)

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© 2013 Springer-Verlag Berlin Heidelberg

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Mitrea, I., Mitrea, M. (2013). The Single Multi-Layer Potential Operator. In: Multi-Layer Potentials and Boundary Problems. Lecture Notes in Mathematics, vol 2063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32666-0_5

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