Chapter IX

Partial Differential Equations


Ideals formed by differential equations; Contact ideal; Fundamental ideal; Balance ideal; Isovector fields of contact ideal; Isovector fields of balance ideal; Determining equations for isovector components; Similarity solutions; Generalised characteristics; Initial data submanifold; Transversality conditions; Generalised characteristic solutions; Horizontal ideals; Vertical ideal; Cartan annihilators; Horizontal one-forms; Solutions of horizontal ideals; Equivalence transformations; Isovector fields generating equivalence groups; Determining equations for isovector components; General solutions of determining equations

9.1 Scope of the Chapter

We can say with a little bit of hyperbolism that to ...

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