Carleman inequalities and unique continuation for the polyharmonic operators

被引：0

作者：

Jeong, Eunhee ^{[1
]}

Kwon, Yehyun ^{[2
]}

Lee, Sanghyuk ^{[3
,4
]}

机构：

[1] Jeonbuk Natl Univ, Inst Pure & Appl Math, Dept Math Educ, Jeonju 54896, Jeonbuk, South Korea

[2] Changwon Natl Univ, Dept Math, Changwon Si 51140, Gyeongsangnam D, South Korea

[3] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[4] Seoul Natl Univ, RIM, Seoul151-747, Seoul, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 385卷

关键词：

Carleman inequality; Unique continuation; Polyharmonic operator; BOCHNER-RIESZ OPERATORS; NEGATIVE INDEX; POWERS; LAPLACIAN; ORDER;

D O I：

10.1016/j.jde.2023.12.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a complete characterization of Lp - Lq Carleman estimates with weight ev center dot x for the polyharmonic operators. Our result extends the Carleman inequalities for the Laplacian due to Kenig-Ruiz-Sogge. Consequently, we obtain new unique continuation properties of higher order Schrodinger equations relaxing the integrability assumption on the solution spaces.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：86 / 120

页数：35

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