Space-like strong unique continuation for some fractional parabolic equations

被引：9
|
作者：
Arya, Vedansh [1 ]
Banerjee, Agnid [1 ]
Danielli, Donatella [2 ]
Garofalo, Nicola [3 ]
机构：
[1] Tata Inst Fundamental Res, Ctr Applicable Math, Bangalore 560065, India
[2] Arizona State Univ, Dept Math, Tempe, AZ USA
[3] Univ Padua, Padua, Italy
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2023年 / 284卷 / 01期
关键词：
Nonlocal parabolic equations; Strong unique continuation; Monotonicity of adjusted frequency; EXTENSION PROBLEM; PROPERTY; MONOTONICITY;
D O I：
10.1016/j.jfa.2022.109723
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish the space-like strong unique continuation for nonlocal equations of the type ( partial differential t - Delta)su = Vu, for 0 < s < 1. The proof of our main result, Theorem 1.1, is achieved via a conditional elliptic type doubling property for solutions to the appropriate extension problem, followed by a blowup analysis.(c) 2022 Elsevier Inc. All rights reserved.
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页数：38
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