A Note on Initial Value Problem for the Generalized Tricomi Equation in a Mixed-type Domain

被引:0
作者
Kang Qun ZHANG [1 ]
机构
[1] Department of Mathematics and Physics,Nanjing Institute of Technology
基金
中国国家自然科学基金;
关键词
Generalized Tricomi equation; semilinear; initial value problem; mixed-type domain;
D O I
暂无
中图分类号
O175.8 [边值问题];
学科分类号
070104 ;
摘要
In this paper, we study the well-posedness of initial value problem for n-dimensional gener-alized Tricomi equation in the mixed-type domain {(t,x):t∈[1,+∞),x∈Rn} with the initial data given on the line t=1 in Hadamard’s sense. By taking partial Fourier transformation, we obtain the explicit expression of the solution in terms of two integral operators and further establish the global estimate of such a solution for a class of initial data and source term. Finally, we establish the global solution in time direction for a semilinear problem used the estimate.
引用
收藏
页码:1581 / 1596
页数:16
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