Carleman inequalities and unique continuation for the polyharmonic operators

被引：0
|
作者：
Jeong, Eunhee [1 ,2 ]
Kwon, Yehyun [3 ]
Lee, Sanghyuk [4 ,5 ]
机构：
[1] Jeonbuk Natl Univ, Dept Math Educ, Jeonju 54896, South Korea
[2] Jeonbuk Natl Univ, Inst Pure & Appl Math, Jeonju 54896, South Korea
[3] Changwon Natl Univ, Dept Math, Chang Won 51140, South Korea
[4] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
[5] Seoul Natl Univ, RIM, Seoul 151747, 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：
暂无
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<middle 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 Schr & ouml;dinger equations relaxing the integrability assumption on the solution spaces. (c) 2023 Elsevier Inc. All rights reserved.
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页码：86 / 120
页数：35
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