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.
基金
Supported by the funds of State Educational Commission of China for returned scholars from abroad and the postdoctoral funds.
关键词
Benach空间
半线性
方程解
Banach space
Semilinear
Evolution equation
Regularity
