Abstract
In the present paper we consider the Dirichlet problem for the n-dimensional Helmholtz equation. In particular we deal with the problem of representability of the solutions by means of simple layer potentials. The main result concerns the solvability of a boundary integral equation of the first kind. Such a result is here obtained by using the theories of differential forms and reducible operators.
To Prof. Luigi Rodino on occasion of his 70th birthday
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Cialdea, A., Leonessa, V., Malaspina, A. (2020). On the Simple Layer Potential Ansatz for the n-Dimensional Helmholtz Equation. In: Boggiatto, P., et al. Advances in Microlocal and Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-36138-9_9
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DOI: https://doi.org/10.1007/978-3-030-36138-9_9
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