TY - JOUR
T1 - On Modified Tricomi Problem of Semi-linear Equation of Mixed Type of Second Kind
AU - Xiao Zhuang
JO - Journal of Partial Differential Equations
VL - 4
SP - 1
EP - 16
PY - 1990
DA - 1990/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5810.html
KW - equation of mixed type
KW -  modified Tricomi problem
KW -  strong solution
AB -  In this paper we considered the semi-linear equation of mixed type of second kind, k(x, y)u_{tt} + u_{xx} + a(x, y)u_t + P(x, y)u_t + y(x, y)u - |u|^pu = f(z,y) For the above equation, we solved the modified Tricomi problem and have proved the existence and uniqueness of strong solution in H_1.