TY - JOUR
T1 - On the Initial Boundary Value Problems for Two Dimensional Systems of Zakharov Equations and of Complex-Schrodinger-real-Boussinesq Equations
AU - Li Yongsheng
JO - Journal of Partial Differential Equations
VL - 2
SP - 81
EP - 93
PY - 1992
DA - 1992/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5739.html
KW - (Za) equations (SBq) equations
KW -  compatibility conditions
KW -  a priori estimate
AB -  In this paper the author considers the initial boundary value problems for the system of Zakharov equtations (Za) and for the system of complex-Schr&#246dinger-real-Boussinesq equations (SBq) in a two-dimensional domain. He proves the global existence and uniqueness of smooth solutions of (SBq) and of (Za) by means of continuous extension method and a priori estilmates.