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Prolongations of geometric overdetermined systems

Branson, Thomas; Cap, Andreas; Eastwood, Michael; Gover, A


We show that a wide class of geometrically defined overdetermined semilinear partial differential equations may be explicitly prolonged to obtain closed systems. As a consequence, in the case of linear equations we extract sharp bounds on the dimension of the solution space.

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
Source: International Journal of Mathematics
DOI: 10.1142/S0129167X06003655


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