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Elliptic–Hyperbolic Partial Differential Equations pp 9–30Cite as

Overview of Elliptic–Hyperbolic PDE

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Abstract

The variety and broad applicability of elliptic–hyperbolic equations are illustrated. Included are brief discussions of: the essentials and history of equation type; a “zoo” of elliptic–hyperbolic equations; systems of elliptic–hyperbolic equations; a quasilinear example having multiple sonic lines, with an application to a recent problem in geometry; the issue of local canonical forms, with particular reference to why one of the two canonical forms has much less regularity than the other.

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    Thomas H. Otway

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Otway, T.H. (2015). Overview of Elliptic–Hyperbolic PDE. In: Elliptic–Hyperbolic Partial Differential Equations. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-19761-6_2

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