半线性抛物型方程的双移动边界问题  

The Bi-Moving Boundary Problem for Semilinear Parabolic Equation

作　　者：任留成[1] 

机构地区：[1]郑州测绘学院,郑州450052

出　　处：《应用数学》1994年第3期306-310,共5页Mathematica Applicata

摘　　要：本文运用Fourier方法和压缩映像不动点原理,证明了半线性抛物型方程的双移动边界问题 u_t=a^2u_(xx)+F(x,t,u,u_x),(x,t)∈D_∞, u(l_1(t),t)=0,l_1(0)=0,t∈(0,+∞), u(l_2(t),t)=0,l_2(0)=l_0,t∈(0,+∞), u(x,0)=φ(x),0≤x≤l_0,φ(0)=φ(l_0)=0.解的存在唯一性,其中D_∞={(x,t)|l_1(t)<l_2(t),l_1(t)≤x≤l_2(t),0≤t<+∞}.Using the Fourier method and the principle of fixed point of contraction mapping,the existence and uniqueness of the solution of bimoving boundary problem of semilinear parabolic equaiton is proved in this paper,where

关 键 词：双移动边界 抛物型方程 半线性 

分 类 号：O175.26[理学—数学]