Some second-order partial differential equations associated with Lie groups

Mathematics – Analysis of PDEs

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11 pages, 1 EPS graphic, LaTeX2e amsart document class, AMS Cyrillic font used in bibliography. This paper is an expanded vers

Scientific paper

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.

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