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Singularities produced in conormal wave interactions


Author: Linda M. Holt
Journal: Trans. Amer. Math. Soc. 347 (1995), 289-315
MSC: Primary 35L70; Secondary 35A20
DOI: https://doi.org/10.1090/S0002-9947-1995-1264146-3
MathSciNet review: 1264146
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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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DOI: https://doi.org/10.1090/S0002-9947-1995-1264146-3
Article copyright: © Copyright 1995 American Mathematical Society