Quantitative uniqueness of elliptic equations
Quantitative uniqueness of elliptic equations
复制标题
椭圆方程的定量唯一性
DOI：
--
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Jiuyi Zhu
中科院分区：
文献类型：
--
作者：
Jiuyi Zhu
基于频率函数的一种变体，改进了描述强唯一性延拓性质的Schr ' {o}dinger方程解的消失阶。首次研究了高阶椭圆型方程的数量唯一性，并给出了其解的消失阶。利用这种频率函数的变体，进一步建立了高阶椭圆方程的强唯一性延拓。
Based on a variant of frequency function, we improve the vanishing order of solutions for Schr"{o}dinger equations which describes quantitative behavior of strong uniqueness continuation property. For the first time, we investigate the quantitative uniqueness of higher order elliptic equations and show the vanishing order of solutions. Furthermore, strong unique continuation is established for higher order elliptic equations using this variant of frequency function.