TY - JOUR
T1 - Initial Value Problem for a Nonlinear Evolution System with Singular Integral Differential Terms
AU - Zhang Linghai
JO - Journal of Partial Differential Equations
VL - 1
SP - 64
EP - 76
PY - 1994
DA - 1994/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5673.html
KW - Initial value problem
KW -  integral estimate
KW -  nonlinear evolution system
KW -  singular integral differential term
AB -  The initial value problem for a nonlinear evolution system with singular integral differential terms is studied. Dy means of a priori estimates of the solutions and Lcray-Schauder's fixed point theorem, we demonstrate the existence and uniqueness theorems of the generalized and classical global solutions to the problem.