Abstract
We study the local propagation of conormal singularities for solutions of semilinear wave equations , where is a polynomial of degree in with coefficients. We know from the work of Melrose and Ritter and Bony that if is conormal to three waves which intersect transversally at point , then after the triple interaction is a conormal distribution with respect to the three waves and the characteristic cone with vertex at . We compute the principal symbol of at the cone and away from the hypersurfaces. We show that if , then is an elliptic conormal distribution.
Citation
Antônio Sá Barreto. Yiran Wang. "Singularities generated by the triple interaction of semilinear conormal waves." Anal. PDE 14 (1) 135 - 170, 2021. https://doi.org/10.2140/apde.2021.14.135
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