摘要
基于半群理论,研究了一类二维非线性偏微分方程初边值问题,并将问题转化为积分方程格式,运用压缩映像原理讨论了方程解的存在唯一性.
The nonlinear partial differential equations are often used to describe the nonlinear phenomena in some fields such as geophysics,chemistry,economics and so on. An initial-boundary problem for a class of two-dimensional nonlinear parabolic equation in investigated in this paper. The problem is firstly converted into an integral equation,and existence and uniqueness of its solution is proved by means of contraction mapping principle.
作者
王兵贤
WANG Bing-xian(School of Mathematical Science, Huaiyin Normal University, Huaian Jiangsu 223300, Chin)
出处
《淮阴师范学院学报（自然科学版）》
CAS
2018年第1期13-15,共3页
Journal of Huaiyin Teachers College;Natural Science Edition
关键词
抛物型方程
半群
存在性
唯一性
parabolic equation
semigroup
existence
unqueness
