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arXiv:math/0601308 [math.AP]AbstractReferencesReviewsResources

Nonlinear wave equations and singular solutions

Hideshi Yamane

Published 2006-01-13, updated 2006-09-20Version 3

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.

Comments: 9 pages
Categories: math.AP
Subjects: 35L70, 35A20
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