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.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
北大核心
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)
