Nonlinear wave equations and singular solutions

Yamane, Hideshi

doi:10.1090/S0002-9939-07-08926-5

Nonlinear wave equations and singular solutions
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by Hideshi Yamane

Proc. Amer. Math. Soc. 135 (2007), 3659-3667

DOI: https://doi.org/10.1090/S0002-9939-07-08926-5

Published electronically: August 14, 2007

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Abstract:

We construct solutions to nonlinear wave equations that are singular along a prescribed noncharacteristic hypersurface, which is the graph of a function satisfying not the Eikonal but another partial differential equation of the first order. The method of Fuchsian reduction is employed.

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