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Some second-order partial differential equations associated with Lie groups | | Palle E. T. Jorgensen
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21 Aug 2000 | | Journal: | Geometric Analysis and Applications (Canberra, 2000) (A. Isaev, A. Hassell, A. McIntosh, and A. Sikora, eds.), Proceedings of the Centre for Mathematics and Its Applications, vol. 39, The Australian National University, Canberra, 2001, pp. 149--159 | | Subject: | Analysis of PDEs; Mathematical Physics MSC-class: 35B10 (Primary), 22E25, 22E45, 31C25, 35B27, 35B45, 35C99, 35H10, 35H20, 35K10, 41A35, 43A65, 47F05, 53C30 (Secondary) | math.AP math-ph math.MP | | 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. | | Source: | arXiv, math.AP/0008159 | | Services: | Forum | Review | PDF | Favorites | |
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