共形孤子上Lu=(??u)/(??t)的椭圆型梯度估计Elliptic Gradient Estimates of Lu=(??u)/(??t) on Conformal Solitons
杨静静,赵广文
摘要(Abstract)：
本文证明了由一般共形向量场给出的共形孤子上的抛物方程Lu=(??u)/(??t)的正有界解的椭圆型梯度估计,作为推论,得到了关于古代解的Liouville型定理.我们也将主要结果应用到了自收缩子、自扩张子和平移孤子上.
关键词(KeyWords)： 共形孤子;梯度估计;Liouville型定理
基金项目(Foundation): 国家自然科学基金项目(12001410)
作者(Author): 杨静静,赵广文
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