线性抛物方程的全局L_M估计  

Global L_M estimate for linear parabolic equations

作　　者：付永强[1] 董增福[1] 张静年[1] 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150001

出　　处：《哈尔滨工业大学学报》2002年第1期137-140,共4页Journal of Harbin Institute of Technology

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OrliczA 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.

关 键 词：线性抛物方程 全局LM估计 弱解 ORLICZ空间 偏微分方程 

分 类 号：O175.26[理学—数学]