Some secondorder partial differential equations associated with Lie groups
Abstract
In this note we survey results in recent research papers on the use of Lie groups in the study of partial differential equations. The focus will be on parabolic equations, and we will show how the problems at hand have solutions that seem natural in the context of Lie groups. The research is joint with D.W. Robinson, as well as other researchers who are listed in the references.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2000
 arXiv:
 arXiv:math/0008159
 Bibcode:
 2000math......8159J
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematical Physics;
 Mathematics  Mathematical Physics;
 35B10 (Primary);
 22E25;
 22E45;
 31C25;
 35B27;
 35B45;
 35C99;
 35H10;
 35H20;
 35K10;
 41A35;
 43A65;
 47F05;
 53C30 (Secondary)
 EPrint:
 11 pages, 1 EPS graphic, LaTeX2e amsart document class, AMS Cyrillic font used in bibliography. This paper is an expanded version of a lecture given by the author at the National Research Symposium on Geometric Analysis and Applications at the the Centre for Mathematics and its Applications at The Australian National University in June of 2000