TY - JOUR
T1 - First Order System of Equations of Mixed Type and Second Order Equation of Mixed Type
AU - Sun Hesheng
JO - Journal of Partial Differential Equations
VL - 2
SP - 155
EP - 163
PY - 1993
DA - 1993/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5707.html
KW - System of mixed type
KW -  generalized Tricomi problem
KW -  auxiliary function
KW -  Fredholm's alternative properties
AB -  A system of first order equations of mixed type, which may be reduced to a general second order equation of mixed type, is considered. Uniqueness of solution to the generalized Tricomi problem is proved by the method of auxiliary function. Existence of H&sup1 strong solution is based on a characteristic problem and is proved by the Fredholm's alternative properties.