摘要
研究了一般形式的线性抛物型偏微分方程 ,利用Orlicz空间理论 ,通过建立在Orlicz -Sobolev空间中弱解的内估计和边界估计 ,得到了弱解的全局LM 估计 .推广了经典的关于线性抛物方程是弱解的Lp 理论 ,并为建立线性抛物方程在Orlicz
A class of linear parabolic partial differential equations in a generalized form is studied using Orlicz space theory. The global L M estimate for weak solutions is obtained by establishing interior and boundary estimates for weak solutions in Orlicz Sobolev space, which generalizes the classical L p theory for the weak solutions of linear parabolic equations and lays a foundation for the existence and uniqueness of weak solutions in Orlicz Sobolev space.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2002年第1期137-140,共4页
Journal of Harbin Institute of Technology
