Editors:
Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 144)
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Table of contents (29 chapters)
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Front Matter
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Expository Articles
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Front Matter
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Research Article
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Front Matter
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About this book
Symmetries in various forms pervade mathematics and physics. Globally, there are the symmetries of a homogenous space induced by the action of a Lie group. Locally, there are the infinitesimal symmetries induced by differential operators, including not only those of first order but of higher order too. This three-week summer program considered the symmetries preserving various natural geometric structures. Often these structures are themselves derived from partial differential equations whilst their symmetries turn out to be contrained by overdetermined systems. This leads to further topics including separation of variables, conserved quantities, superintegrability, parabolic geometry, represantation theory, the Bernstein-Gelfand-Gelfand complex, finite element schemes, exterior differential systems and moving frames.
There are two parts to the Proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.
Editors and Affiliations
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School of Mathematical Sciences, The University of Adelaide, Australia
Michael Eastwood
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School of Mathematics, University of Minnesota, Minneapolis
Willard Miller
Bibliographic Information
Book Title: Symmetries and Overdetermined Systems of Partial Differential Equations
Editors: Michael Eastwood, Willard Miller
Series Title: The IMA Volumes in Mathematics and its Applications
DOI: https://doi.org/10.1007/978-0-387-73831-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2008
Hardcover ISBN: 978-0-387-73830-7Published: 07 November 2007
Softcover ISBN: 978-1-4419-2533-6Published: 19 November 2010
eBook ISBN: 978-0-387-73831-4Published: 23 April 2009
Series ISSN: 0940-6573
Series E-ISSN: 2198-3224
Edition Number: 1
Number of Pages: XVI, 568
Topics: Partial Differential Equations, Applications of Mathematics