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
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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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DOI: https://doi.org/10.1007/978-3-642-32666-0_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32665-3
Online ISBN: 978-3-642-32666-0
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