一类半线性Tricomi方程的Liouville型定理  

Liouville Type Theorem of a Class of Semilinear Tricomi Equations

作　　者：张书陶[1] 温娟[1] 

机构地区：[1]中国计量学院理学院,杭州310018

出　　处：《西安工业大学学报》2009年第2期189-191,共3页Journal of Xi’an Technological University

基　　金：浙江省自然科学基金(Y606144)

摘　　要：研究了一类以Tricomi算子为主部的半线性方程解的Liouville性质.受Birindelli等研究散度型算子的半线性方程的Liouville型问题的思想的启发,结合Laptev等构造试验函数的方法,首先构造了一类特殊的试验函数,通过对一类泛函进行精确估计,给出该半线性方程的Liouville型定理.The Liouville property is studied for the solution of a class of semilinear Tricomi equations. Inspired by the ideas of Birindelli et al who studied the Liouville type problem of semilinear equations with divergence type operators, combined the method of Laptev who constructed test functions, a class of special test functions is constructed firstly. Through estimating accurately a class of functional, the Liouville type theorem for the semilinear Tricomi equations is given.

关 键 词：LIOUVILLE型定理 半线性方程 Tricomi算子 试验函数 

分 类 号：O175.2[理学—数学]