Nonlinear wave equations and singular solutions

Details Nonlinear wave equations and singular solutions Nonlinear wave equations and singular solutions

2006-01-13

arxiv.org/abs/math/0601308v3

Mathematics

Analysis of PDEs

9 pages

Scientific paper

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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