Singularities produced in conormal wave interactions

Holt, Linda M.

doi:10.1090/S0002-9947-1995-1264146-3

Singularities produced in conormal wave interactions
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by Linda M. Holt PDF

Trans. Amer. Math. Soc. 347 (1995), 289-315 Request permission

Abstract:

Three problems on the interactions of conormal waves are considered. Two are examples which demonstrate that nonlinear spreading of singularities can occur when the waves are conormal. In one case, two of the waves are tangential, and the other wave is transversal to the first two. The third result is a noninteraction theorem. It is shown that under certain conditions, no nonlinear spreading of the singularities will occur.

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