TY - JOUR
T1 - Interaction of Three Conormal Waves for Semilinear Wave Equations
AU - Wang , Weike
JO - Journal of Partial Differential Equations
VL - 3
SP - 281
EP - 288
PY - 1995
DA - 1995/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5660.html
KW - Semilinear wave equation
KW - interaction of three singularities
KW - conormal wave
KW - second microlocaliution
AB -  In this paper, we consider the interaction of triple of conormal waves with different singularities for semilinear wave equations. We will show that if three characteristic hyperplanes carrying different conormal singularities intersect transversally at the origin, then the solution will be conormal with respect to the three hyperplanes, and a new singularity will be produced on the surface of the light cone at later times. We can also prove here that the strength of the new singularity will be dependent only on the weakest one and strongest one in the three hyperplanes.