Title: Geometric partial differential equations: Definitions and properties (58 pages)
Detail: Notes from MATH 949

Original manuscript: 2006/02/17

Nonlinear partial differential equations are defined as fibred submanifolds of a jet bundle. The definitions of prolongation and symbol are given and given interpretations. Projections, formal properties, and linearisation are also discussed.

Almost no attempt is made to maintain notational consistency with the standard literature.

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Last Updated: Wed Jun 14 06:25:30 2017

Andrew D. Lewis (andrew at mast.queensu.ca)