TY - JOUR
T1 - On Regularity for Solutions of Non-linear Equation with Constant Multiple Characteristic
JO - Journal of Partial Differential Equations
VL - 2
SP - 151
EP - 162
PY - 1998
DA - 1998/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5562.html
KW - Constant multiple characteristic
KW - Levi condition
KW - paradifferential operator
KW - bicharacteristic
KW - para-linearization
AB -  In this paper we consider the propagation of microlocal regularity near constant multiple characteristic or a real solution u ∈ H^s (s > m + max{μ, 2} + \frac{n}{2})or non-linear partial differential equation F(x, u,…, ∂^βu,…)_{(|β|≤m)} = 0 We will prove that the microlocal regularity ncar constant multiple characteristic of the solution u will propagate along bicharacteristic with constant multiplicity μ and have loss of smoothness up to order μ - 1 under Levi condition.