一类可化为U_t=U_(xx)形式的一维抛物型方程  

A kind of one dimensional parabolic equations reducible to the equation of the form U_t =U_(xx)

作　　者：李艳青 黄得建[1] LI Yanqing;HUANG Dejian(School of Ocean Information Engineering , Hainan Tropical Ocean University, Sanya 572022, China;School of Mathematics and Statistics ,Northeast Normal University,Changchun 130024,China)

机构地区：[1]海南热带海洋学院海洋信息工程学院,海南三亚572022 [2]东北师范大学数学与统计学院,吉林长春130024

出　　处：《周口师范学院学报》2017年第5期11-13,共3页Journal of Zhoukou Normal University

基　　金：琼州学院青年教师科研基金资助项目(No.QYQN201519);琼州学院青年教师科研基金资助项目(No.QYQN201520)

摘　　要：应用几种变换将形如u_t(x,t)=a(t)u_(xx)(x,t)+b(t)u_x(x,t)+c(t)u(x,t)的一类抛物型方程转化为方程U_t=U_(xx)的形式,从而更有利于解决一维抛物型方程反问题.In this paper,a kind of parabolic equations with the form ut(x,t)=a(t)uxx(x,t)+b(t)ux(x,t)+c(t)u(x,t)are reduced to the equation with the form Ut=Uxx via several transformation.Thus,it is more favorable to solve the inverse problem of one dimensional parabolic equation.

关 键 词：反问题 抛物型方程 变换 未知参数 

分 类 号：O241[理学—计算数学]