一维热传导方程的解关于热交换系数的渐近行为

Asymptotic behavior of the solution about heat coefficient of one-dimensional heat equation

给出了一维热传导方程关于热交换系数h的解族u=uh(x,t)的一些分析性质的证明,并应用Dini定理证明了u=uh(x,t)在h→0时一致收敛到u=u0(x,t)。

We prove some analytical characters of the solution about heat coefficient of one-dimensional heat equation u=u_h(x,t). And by using Dini's theorem,we prove the uniform convergence from (u_h(x,t) to u_0(x,t)) when h→0.