In the present paper we consider the Dirichlet problem for the n- dimensional Helmholtz equation. In particular we deal with the problem of rep- resentability 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.

On the Simple Layer Potential Ansatz for the n-Dimensional Helmholtz Equation

Cialdea, Alberto;Leonessa, Vita;Malaspina, Angelica
2020

Abstract

In the present paper we consider the Dirichlet problem for the n- dimensional Helmholtz equation. In particular we deal with the problem of rep- resentability 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.
978-3-030-36137-2
978-3-030-36138-9
File in questo prodotto:
File Dimensione Formato  
Simple Helmholtz.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 189.28 kB
Formato Adobe PDF
189.28 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/141541
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? ND
social impact