The Cauchy Problem for a Hyperbolic Second Order Equation with Data on the Parabolic Line

M. H. Protter

doi:10.4153/CJM-1954-059-x

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In this paper we consider the Cauchy problem for the equation

(1) h(x, y) K(y) vxx − vyy + a(x, y) vx + b(x, y) vy + c(x, y) v + f(x, y) = 0

with initial values prescribed on a segment of the x-axis. The coefficients in (1) are assumed to possess two continuous derivatives with respect to x and one continuous derivative with respect to y in the closure of the domain under consideration.

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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