First-Order Partial Differential Equations
Partial differential equations have been studied much less than ordinary differential equations. Part of the theory—that of a single partial differential equation of the first order—can be reduced to the study of special ordinary differential equations, the so-called characteristic equations. This is possible because, physically speaking, non-interacting particles can be described by either the partial differential equation of the field or ordinary equations for the particles.
KeywordsCauchy Problem Tangent Plane Contact Structure Characteristic Direction Quasilinear Equation
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