Interactions of Semilinear Progressing Waves in Two or More Space Dimensions
arXiv:2001.11061
Abstract
We show that singularities form after the interaction of three transversal semilinear conormal waves. Our results hold for space dimensions two and higher, and for arbitrary smooth nonlinearity. The case of two space dimensions in which the nonlinearity is a polynomial was studied by the author and Yiran Wang.
We extend the results of arXiv:1809.09253 (joint with Yiran Wang) to higher dimensions and arbitrary nonlinearity