Quantitative uniqueness of solutions to a class of Schrödinger equations with inverse square potentials

IF 1.2 3区 数学 Q1 MATHEMATICS
Xiujin Chen , Hairong Liu
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引用次数: 0

Abstract

This paper is devoted to proving the quantitative unique continuation property for solutions to a class of Schrödinger equations with inverse square potentials. The argument is to introduce a frequency function and show an almost monotonicity formula and three-ball inequalities by combining the Hardy's inequality.
具有反平方势的一类薛定谔方程解的定量唯一性
本文致力于证明一类具有反平方势的薛定谔方程的解的定量唯一延续性质。其论点是引入频率函数,并通过结合哈代不等式来证明几乎单调性公式和三球不等式。
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来源期刊
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍: The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.
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