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arxiv: math/0601308 · v3 · pith:DPZFTRPWnew · submitted 2006-01-13 · 🧮 math.AP

Nonlinear wave equations and singular solutions

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keywords equationsnonlinearsingularsolutionswavealonganotherconstruct
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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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