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The Double Multi-Layer Potential Operator

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

Abstract

In this chapter we take on the task of introducing and studying what we call double multi-layer potential operators, associated with arbitrary elliptic, higher-order, homogeneous, constant (complex) matrix-valued coefficients. As a preamble, we first take a look at the nature of fundamental solutions associated with such operators.

Keywords

  • Matrix-valued Coefficients
  • Explicit Fundamental Solution
  • Canonical Extension
  • Homogeneous Differential Operator
  • Legendre Hadamard

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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Mitrea, I., Mitrea, M. (2013). The Double 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_4

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