Diffraction and Dirchlet problem for parameter-elliptic convolution operators with constant symbols

  • I Fedotov Department of Mathematical Technology, Tshwane University of Technology, Private Bag X680, Pretoria, 0001, South Africa.
  • Y Gai Department of Mathematical Technology, Tshwane University of Technology, Private Bag X680, Pretoria, 0001, South Africa.
Keywords: diffraction problem, convolution operator, parameter-elliptic operator, boundary

Abstract

In this paper we evaluate the difference between the inverse operators of a Dirichlet problem and of a diffraction problem for parameter-elliptic convolution operators with constant symbols. We prove that the inverse operator of a Dirichlet problem can be obtained as a limit case of such a diffraction problem.

Quaestiones Mathematicae 28(2005), 337–353.
Published
2005-09-15
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606