Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-06-08T19:13:08.542Z Has data issue: false hasContentIssue false
  • English
  • Français

The iterated equation of generalized axially symmetric potential theory. II. General solutions of Weinstein's type

Published online by Cambridge University Press:  09 April 2009

J. C. Burns
J. C. Burns
Affiliation:
The Australian National University Canberra, A.C.T.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In the first paper of this series [1] which will be designated I, particular solutions of various kinds have been found for the iterated equation of generalized axially symmetric potential theory (GASPT) which, in the notation defined in I, is (1) where the operator is defined by

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 3 , August 1967 , pp. 277 - 289
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Burns, J. C., ‘The iterated equation of generalized axially symmetric potential theory. I. Particular solutions’, Journ. Austr. Math. Soc., 7 (1967), 263–276.CrossRefGoogle Scholar
[2]Weinstein, A., ‘On a class of partial differential equations of even order’, Ann. Mat. Pura Appl. 39 (1955), 245–254.CrossRefGoogle Scholar
[3]Payne, L. E., ‘Representation formulas for solutions of a class of partial differential equations’, J. Math. and Phys. 38 (1959), 145–149.CrossRefGoogle Scholar
[4]Weinstein, A., ‘On the Cauchy problem for the Euler-Poisson-Darboux equation’, Bull. Amer. Math. Soc. 59 (1953) 454.Google Scholar