贵州师范大学学报：自然科学版
貴州師範大學學報：自然科學版
귀주사범대학학보：자연과학판
Journal of Guizhou Normal University(Natural Sciences)
2012年
2期
28-32
,共5页
抛物型方程%弱解%弱解的正则性%Galerkin逼近
拋物型方程%弱解%弱解的正則性%Galerkin逼近
포물형방정%약해%약해적정칙성%Galerkin핍근
the parabolic equations%the weak solutions%the regularity of the weak solution%Galinkin-approximation
对一类PDE抛物型方程初边值问题，在一定条件假设下弱解的正则性问题的研究，通过一些技巧和方法。描述了方程弱解的正则性．这些技巧和方法包括：Galerkin逼近法，解得弱收敛，sobolev不等式，内插不等式等等．
對一類PDE拋物型方程初邊值問題，在一定條件假設下弱解的正則性問題的研究，通過一些技巧和方法。描述瞭方程弱解的正則性．這些技巧和方法包括：Galerkin逼近法，解得弱收斂，sobolev不等式，內插不等式等等．
대일류PDE포물형방정초변치문제，재일정조건가설하약해적정칙성문제적연구，통과일사기교화방법。묘술료방정약해적정칙성．저사기교화방법포괄：Galerkin핍근법，해득약수렴，sobolev불등식，내삽불등식등등．
In this paper, we discuss the regularity of the weak solution u to the initial/boundary value problem for second-order parabolic equations under certain Condition assumption. Via some techniques and methods, we also show the regularity of the weak solution. These techniques and methods include Galinkin-approximation, the weak convergence of the solutions, Sobolev-inequalities, interpolation-inequality, etc.
