Carnot群上退化半线性抛物型不等方程的Liouville型定理  

Liouville Type Theorems for Degenerate Semilinear Parabolic Inequalities on the Carnot Group

作　　者：原子霞[1] 钮鹏程[1] 

机构地区：[1]西北工业大学应用数学系,西安710072

出　　处：《工程数学学报》2008年第2期273-280,共8页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10371099).

摘　　要：本文研究Carnot群上一类退化半线性抛物型不等方程的Liouville型定理,将Fujita和Kartsatos- Kurta经典的关于欧氏空间上相应方程的非平凡解的不存在性结果推广到Carnot群上。通过建立一个先验不等式,本文还证明了无界子域上的Liouville型定理。The purpose of this paper is to obtain some Liouville type theorems for a class of degenerate semilinear parabolic inequalities, which extend the well-known results of Fujita and Kartsatos-Kurta from the Euclidean space to the Carnot group. By establishing a prior inequality, we also give some Liouville type results in unbounded subdomains.

关 键 词：CARNOT群 LIOUVILLE型定理 退化抛物型不等方程 次LAPLACE算子 

分 类 号：O175.26[理学—数学]