Partial Differential Equations of First Order and Contact Transformations
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This chapter can to a large extent be read independently of the others and serves as an introduction to the theory of partial differential equations of first order and to Lie’s theory of contact transformations. Nevertheless the results presented here are closely related to the rest of the book, in particular to field theory (Chapter 6) and to Hamilton—Jacobi theory (Chapter 9).
KeywordsCauchy Problem Contact Graph Contact Space Characteristic Vector Field Global Invertibility
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