Tricomi型方程在矩形区域上的Dirichlet问题(英文)  

On Dirichlet Problem of Tricomi-Type Equation in Rectangular Domains

作　　者：张康群[1] 李宇尘 

机构地区：[1]南京工程学院数理部

出　　处：《南京师大学报（自然科学版）》2016年第1期29-35,共7页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by NNSF of China(Tianyuan Fund of Mathematics;11326152);NSF of Jiangsu Province of China(BK20130736);the Research Fund of Nanjing Institute of Technology of China(YKJ201339)

摘　　要：讨论了非齐次Tricomi型方程在矩形区域Ω={(t_1,t0)×(0,π):t_1≤0,t_0>0}上的Dirichlet问题的适定性.当t_1=0时,建立了解的估计;当t_1<0时,构造反例说明Dirichlet问题在Hadamard’s意义下是不适定的.Dirichlet problem of inhomogeneous Tricomi type equation in the rectangular domain Ω={（t1,t0）×（0,π）：t1≤0,t00} is discussed. For t1=0,we give the solution a priori estimate. For t10,we show the Dirichlet problem is ill-posedness in Hadamard＇s sense by constructing a counterexample.

关 键 词：Tricomi型方程 DIRICHLET问题 适定性 不适定性 

分 类 号：O175.28[理学—数学]