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.

引用

页数：38

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