Abstract: In this paper,the global existence for high-dimensional Burgers-type nonlinear parabolic equations u_t-Δu=(n)∑(i=1)C_i(∂)/(∂_xi)u^1+α_i(t,x) in traffic flows has been obtained for α_i≥1 and small initial value.

Key words: nonlinear parabolic equation, sinitial value problem, global existence

摘要： 笔者获得了n(n≥1)维空间Rⁿ中Burgers型方程u_t-Δu=(n)∑(i=1)C_i(∂)/(∂_xi)u^1+α_i(t,x)对α_i≥1和"小"初值a(x)其初值问题整体光滑解的存在性.

关键词: 非线性抛物型方程, 初值问题, 整体存在性