两个空间变量的拟线性抛物方程初值问题解的正则性  

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

作　　者：杨金顺[1] 王瑞庚[1] 

机构地区：[1]东北电力学院基础部,吉林市132012

出　　处：《应用数学》1993年第4期432-438,共7页Mathematica Applicata

摘　　要：本文研究了两个空间变量的拟线性退缩抛物方程Cauchy问题广义解的正则性问题.推广了文献[1]的结果.This paper deals with Cauchy problem for quasilinear degenerate parabolic equations with two-dimensional space of the type u_t= △(u^(1+δ)+b_i(u)-x_i,(x,t) ∈ R_t,(1) u(x,0)=u_0(x), x ∈R^2.(2) At first, the necessary estimates for the solutions of regularized problems are made.Then the regularity of generalized solutions is proved. And the existence of generalized solutions is studied.

关 键 词：拟线性 初值问题 抛物型方程 

分 类 号：O175.26[理学—数学]