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Time-evolution of a caustic. (English) Zbl 0694.35103

Summary: The Lagrange manifold formalism is adapted to study the time-evolution of caustics associated with high frequency wave propagation in media with both spatial and temporal inhomogeneities.

MSC:

35L10 Second-order hyperbolic equations
35B40 Asymptotic behavior of solutions to PDEs
34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
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