Unique continuation property for anomalous slow diffusion equation

被引：14

作者：

Lin, Ching-Lung ^{[1
,2
]}

Nakamura, Gen ^{[3
,4
]}

机构：

[1] Natl Cheng Kung Univ, NCTS, Dept Math, Tainan 701, Taiwan

[2] Natl Cheng Kung Univ, NCTS, Res Ctr Theoret Sci, Tainan 701, Taiwan

[3] Inha Univ, Dept Math, Inchon, South Korea

[4] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 060, Japan

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 41卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

Anomalous diffusion; Carleman estimate; fractional time derivative; unique continuation property; CAUCHY-PROBLEM;

D O I：

10.1080/03605302.2015.1135164

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Carleman estimate and the unique continuation of solutions for an anomalous diffusion equation with fractional time derivative of order 0< alpha <1 are given. The estimate is derived through some subelliptic estimates for an operator associated to the anomalous diffusion equation using calculus of pseudo-differential operators.

引用

页码：749 / 758

页数：10

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