Convolution groups for quasihyperbolic systems of differential operators

Authors

  • Norbert Ortner
  • Peter Wagner

DOI:

https://doi.org/10.1285/i15900932v25n2p139

Keywords:

Fundamental solutions, Fundamental matrices, Convolution of distributions

Abstract

In contrast to the usual treatment (see e.g. J.J. Duistermaat [3]) convolution groups are constructed for differential operators defined by non-homogeneous polynomials (Proposition 5) and for quasi-hyperbolic systems, i.e. systems "correct in the sense of Petrovsky" (Proposition 9). An explicit formula for the convolution group of the Lame system in elastodynamics is presented in Proposition 11.

Downloads

Published

01-06-2006

Issue

Volume 25, Issue 2 (2006)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode