多个空间变量的拟线性退缩抛物方程初值问题广义解的正则性  

Regularity of Generalized Solutions of Cauchy Problem for Quasilinear Degenerate Parabolic Equations with Poly-Dimensional Space

作　　者：杨金顺[1] 

机构地区：[1]东北电力学院基础教学部

出　　处：《东北电力学院学报》1995年第2期48-52,共5页Journal of Northeast China Institute of Electric Power Engineering

摘　　要：本文研究了多个空间变量（Ｎ≥３）的拟线性退缩抛物方程Ｃａｕｃｈｙ问题广义解的正则性问题，推广了文［１］的结果．The paper deals with cauchy problem fot quasilinear degenerate parabolic equations with poly-dimensional space(N≥3)of the type=Δ(u1+δ),(x,t)∈Rnt and u(x,0)=u0(x),x∈RN.The necessary estimates for solutions of regularized solutions Problems are made,as well as the regularity of generalized solutions is proved and the existence of generalized solutions is studies.

关 键 词：拟线性抛物方程 初值问题 广义解的正则性 

分 类 号：O175.26[理学—数学]