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Examples of non-discreteness for the interaction geometry of semilinear progressing waves in two space dimensions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1324)

Abstract

The interaction geometry for the conic wave solutions of a semilinear wave equation with Cauchy data conormal at the three vertices and center of an equilateral triangle is analyzed. It is shown that there is a point of accumulation in a finite time. This illustrates a general conjecture on the occurrence of such non-discreteness in the interaction set.

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References

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© 1988 Springer-Verlag

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Barreto, A.S., Melrose, R.B. (1988). Examples of non-discreteness for the interaction geometry of semilinear progressing waves in two space dimensions. In: Cardoso, F., de Figueiredo, D.G., Iório, R., Lopes, O. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100792

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  • DOI: https://doi.org/10.1007/BFb0100792

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50111-4

  • Online ISBN: 978-3-540-45928-6

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