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The Tricomi Equation (1311.3338v3)

Published 13 Nov 2013 in math.AP

Abstract: The Tricomi equation is a second-order partial differential equation of mixed elliptic-hyperbolic type. It was first analyzed in the work by Francesco Giacomo Tricomi (1923) on the well-posedness of a boundary value problem. The Tricomi equation can be transformed into the corresponding elliptic or hyperbolic Euler-Poisson-Darboux equation, and has a close connection with transonic flow and isometric embedding. It has different degeneracy from a closely related equation, the Keldysh equation.

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