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Nonlinear wave equations and singular solutions

Hideshi Yamane
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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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Hideshi Yamane. 2006-01-13. Nonlinear wave equations and singular solutions. https://arxiv.org/abs/math/0601308

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