TY - JOUR
T1 - Interaction of Conormal Waves with Different Singularities for Semi-linear Equations
AU - Wang Weike
JO - Journal of Partial Differential Equations
VL - 4
SP - 87
EP - 96
PY - 1991
DA - 1991/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5785.html
KW - Semi-linear equation
KW -  space of conormal distribution
KW -  different weak singularities
AB -  We consider a solution of the semi-linear partial differential equations in higher space dimensions. We show that if there exist two characteristic hypersurface bearing different weak singularities intersect transversally, and another one characteristic hypersurface issues from above intersection, then the solution would be conormal with respect to the union of these surfaces, and satisfy the so-called &#8220sum law&#8221.