Unique continuation for fractional p-elliptic equations

被引：0

作者：

Wang, Qi ^{[1
]}

Ma, Feiyao ^{[1
]}

Wo, Weifeng ^{[1
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Zhejiang, Peoples R China

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2024年 / 15卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fractional p-elliptic equations; Monotonicity; Blow-up analysis; The unique continuation property; SCHRODINGER-EQUATIONS; EXTENSION PROBLEM; LAPLACIAN; MONOTONICITY; PRINCIPLES; INEQUALITY; SYMMETRY; PROPERTY;

D O I：

10.1007/s11868-023-00568-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the unique continuation property for the fractional p-elliptic equations in a semigroup form with variable coefficients. By employing an extension procedure, we derive a monotonicity formula for an extended frequency function. Utilizing this monotonicity together with a blow-up analysis, we establish the unique continuation property.

引用

页数：19

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