Banach空间中一类半线性发展型方程解的正则性(英文)  

Regularity of Solutions for a Class of Semi(?)near Evolution Equations in Banach Spaces

作　　者：刘振海[1] 

机构地区：[1]长沙电力学院数学与计算机系,长沙410077

出　　处：《长沙水电师院学报（自然科学版）》1997年第1期1-9,共9页

基　　金：Supported by the funds of State Educational Commission of China for returned scholars from abroad and the postdoctoral funds.

摘　　要：利用解析半群的性质,系统地研究了一类半线性发展型方程弱解的正则性,然后将所得结果应用于一类半线性抛物型偏微分方程,得到了一些新的正则性结果。We deal with the regularity of weak solutions for a class of semilinear evo- lution equations in Banach spaces by use of the theory of analytic semigroups and its applications to a class of semilinear parabolic equations.

关 键 词：Benach空间 半线性 方程解 

分 类 号：O177.2[理学—数学]